Except the first two blocks, each block begins with 31 and ends with 1. March 27, 2015 Uncategorized smorelli2013. It’s more than a sequence. In many, but not all cases, a(n) acts as an inverse to the "Look and Say" sequence A005150.For example, 4113 -> 142113 under the "Look and Say" and 142113 -> 4113 under a(n). Conway, J. H. and Guy, R. K. "The Look and Say Sequence." The Look-and-Say Sequence. You don’t need any mathematical background and little thought is required to find the next term. of Conway's Look and Say Sequence. I think, not too easily. J. Sauerberg and L. Shu, The long and the short on counting sequences , Amer. Next we can read 11 as "two 1." Rosetta Code is a programming chrestomathy site. In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, … Now implement the “look-and-say” algorithm with a given seed number x and a number of iterations y. Enter an integer – check if it's Fibonacci. 173-188, 1987. Walk through homework problems step-by-step from beginning to end. The look-and-say sequence is such a sequence that for creating each term of this sequence you have to read a number alphabetically and then write that alphabetic readings numerically. In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, ... (sequence A005150 in OEIS). Vardi, I. Computational Recreations in Mathematica. T. M. Cover and You can take any number as a starting number, and then follow this rule to produce next numbers. Look and Say Sequence Write Up (Word document for all visuals) Look and Say Sequence Report (pdf done in Mathematica) Leave a comment. The Look and Say Sequence generated from a starting Digit of 3, as given by Vardi (1991). There are also two “transuranic” elements for each digit other than 1, 2, and 3. If L n is the number of digits of the n th term then, (1) lim n → ∞ L n + 1 L n = λ. where λ = 1.303577 … is an algebraic number of degree 71. The Look-and-Say Sequence The Look and say sequence is a recursively defined sequence of numbers studied most notably by John Conway. Champaign, IL: Wolfram Media, p. 905, Here’s a picture for Paley-25 and its graph complement. 1,11,21,1211,…?1, 11, 21, 1211, \ldots?1,11,21,1211,…? Only the digits 1, 2, and 3 are the members of this sequence. Look and Say. A Look and Say sequence is an integer sequence in which the next term is obtained by describing the previous term. Then "11" becomes "21", and so on. The #1 tool for creating Demonstrations and anything technical. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. "compounds." (Ed. Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. Mathematica is a computational software program developed by Wolfram Research. Weisstein, Eric W. "Look and Say Sequence." Generate Prouhet-Thue-Morse Sequence. New user? n’th term in generated by reading (n-1)’th term. The sequence starts plainly with a single digit 1: 1. A string with no of 22, a result which follows from the cosmological OFFSET: 0,3; COMMENTS: n is read one digit at a time, leftover single digits describe themselves and trailing zeros are ignored. In The Math. https://mathworld.wolfram.com/LookandSaySequence.html, Vectorgrams In fact, the constant is even more general than this, applying to all starting sequences (i.e., even those starting with arbitrary starting digits), with the exception nontrivial splittings is called an "element," and other strings are called When you compress an image down to a few dots, all the colors are necessarily blended, which is to say, turned to mud. The date 11/21 is a look and say day (one one, two ones). Look and Say Sequence The integer sequence beginning with a single digit in which the next term is obtained by describing the previous term. I’m pleased to be with you. We say that the first sequence is the sequence of partial sums of the second sequence (partial sums because we are not taking the sum of all infinitely many terms). Mathematics (from Greek: μάθημα, máthēma, 'knowledge, study, learning') includes the study of such topics as quantity (number theory), structure (), space (), and change (mathematical analysis). Similarly, starting the sequence for are 1, 2, 2, 4, 6, 6, 8, 10, 14, 20, 2002. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the … The elements of a sequence cannot grow indefinitely. For Mathematica users,.NET/Link makes the entire .NET world an automatic extension to the Mathematica … 1,11,21,1211,111221,…1, 11, 21, 1211, 111221, \ldots1,11,21,1211,111221,…. two strings whose descendants never interfere with one another. Conway discovered that strings sometimes factor as a concatenation of To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit. "Audioactive Decay." Cf. (Ed.). The sequence A225224 is a variant that avoids these repetitions. (method A - initial term is 3). Conway, J. H. "The Weird and Wonderful Chemistry of Audioactive Decay." 208-209, 1996. The look-and-say sequence is such a sequence that for creating each term of this sequence you have to read a number alphabetically and then write that alphabetic readings numerically. For example, the term $1$ is read as “one $1$”, which becomes the next term: $11$. Print the first 20 elements of the Look and Say sequence. Quickly calculate pi digits in your browser. For example, if you look at "22a", you count "two twos" and "one a" so the next sequence element is "221a", and then you repeat this process. $\begingroup$ I mean, look at the answers below--nobody is using Return.It's really only necessary when you want to bail out of a construct like While that ordinarily wouldn't have any return value, or which wouldn't terminate except in the case of a manual return. Sign up to join this community Only for same digits of number like 22, if you apply the above method , this will return the same result 22 instead of a sequence. There are 92 elements containing the digits 1, 2, and 3 only, which John Conway named after the natural chemical elements. Generate Look-and-say Sequence. You can do this on desktop, web or mobile. On desktop and web, you typically type shift + return to say you ’ ve finished your input; on mobile you typically press a button. Log in. This follows that there is only a finite set of numbers available for a sequence. 134-138, 2001. Open Quickly create a list of Prouhet-Thue-Morse sequence values. Hi. It only takes a minute to sign up. It is amazing that these simple patterns for sequences can lead to questions that have mystified even the best mathematicians in the world for centuries! For example: 1 is read off as “one 1” or 11, 11 … Starting with 1, the sequence would be defined by "1, one 1, two 1s, one 2 one 1," etc., and the result is 1, 11, 21, 1211, 111221, … . Sloane, N. J. For example, "1" becomes "11", because there is one "1". Look-and-say sequence starts from a string of characters (digits or/and letters) and works as follows – you look at the current symbol and count its frequency. The Look and say sequence is a recursively defined sequence of numbers studied most notably by John Conway. The starting number may be any number you want. By changing just a single matrix element you can obtain the Lucas numbers instead. The look-and-say sequence is the sequence of numbers $1, 11, 21, 1211, 111221, 312211, …,$ in which each term is constructed by “reading” the previous term in the sequence. As for the number 1, It must be read as "one 1," where “one” represents the total digits of that number. B. Gopinath). The look-and-say sequence is the sequence of below integers: 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, …. of Integer Sequences.". Wolfram, S. A New Kind of Science. Showing off the high-level commands in Mathematica. Problems in Communications and Computation. Tutorial for Mathematica & Wolfram Language. No ads, popups or nonsense, just a Fibonacci sequence checker. We look at this and say what we see. Computational Recreations in Mathematica. See also Conway's Constant, Look and Say Sequence. It is clearly computationally cheaper than any sort of recursion or nesting, and that would be noticeable deep into the sequence. In Mathematica I have a list: x = {1,2,3,3,4,5,5,6} How will I make a list with the duplicates? For example the next element after 111221 would be 312211 (three ones, two twos and one one). Horizons: The Future Use of Fractals. These sequences Either of these programs will pro- ... To say what a hypergeometric sequence is let’s ... also look for a hyper-hypergeometric sequence (i.e., one in which the ratio of consecutive terms is hy-pergeometric), and a hyper-hyper-hypergeometric sequence, etc. A series of short-lived records were set and published prominently in Nature , Science , and Physical Review Letters , three of the most esteemed scientific journals to be published in. Every sequence eventually splits (“decays”) into a sequence of “atomic elements,” which are finite subsequences that never again interact with their neighbors. For Mathematica users, J/Link makes the whole universe of existing and future Java classes an automatic extension to the Mathematica … The look-and-say sequence is also known as the Morris Number Sequence, after cryptographer Robert Morris, and the puzzle What is the next number in the sequence 1, 11, 21, 1211, 111221? Ch. This leads to a cycle. For example, no number in the Look and Say Sequence will have a digit greater than . Forgot password? Simple, free and easy to use online tool that tests if a number is a Fibonacci number. Your sequence of inputs and outputs — together with any text you may add — all exists in a Wolfram Notebook. the numbers of digits for the th term of the sequence The "Look and Say Sequence" is not a typical numerical sequence. 3 -> 13, 33 -> 23, 12 -> 1112 -> 3112. Just like the search for odd perfect numbers, this is still an open problem in mathematics. Introduction to J/Link Welcome to J/Link, a product that integrates Mathematica and Java.J/Link lets you call Java from Mathematica in a completely transparent way, and it also lets you use and control the Mathematica kernel from a Java program. There must not be any other number. Why this type of name for the sequence? From MathWorld--A Wolfram Web Resource. Robert Morris was a famous cryptographer and he asked a puzzle: “What is the next number in the sequence 1, 11, 21, 1211, 111221?” Can any of you solve this? A006715 Describe the previous term! If you choose option A, The fifth day you receive 1400 The sixth day you receive 1500 The seventh day your receive 1600 The eighth day you receive 1700 The ninth day you receive 1800 The tenth day your receive 1900 Ironically, next year is 2011, part of the self-descriptive sequence 0, 10, 2011, which describes everything previous (zero; one zero; two zeros, one one). The idea is to present solutions to the same task in as many different languages as possible, to demonstrate how languages are similar and different, and to aid a person with a grounding in one approach to a problem in learning another. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Similarly, Sign up, Existing user? PART A: Introduction "In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1,11,21, 1211, 111221, 312211, 13112221, 11132132,. Without checking, I would guess that this approach is similar to how the built in function computes Fibonacci numbers. Apply the same method for finding the next number of the sequence. The sequence is obtained by starting with 0 and successively appending the Boolean complement of the sequence obtained so far. Unlimited random practice problems and answers with built-in Step-by-step solutions. New York: Springer-Verlag, pp. To get your pi digits, just specify how many of them you need in the options below, and this utility will generate a sequence of that many π digits. Conway, J. H. "The Weird and Wonderful Chemistry of Audioactive Decay." For example, the term $1$ is read as “one $1$”, which becomes the next term: $11$. Fractal 26, 34, 46, 62, ... (OEIS A005341). Recursive Sequence Calculator Wolfram. Hence, by the drawer principle, at least two elements in a sequence must be equal. Calculate totals, sums, power series approximations. The sequence starts with the number 1 and each additional number encodes the number of digits that are repeated before each digit sequence. We calculate eight Conway sequence's members and display each of them on a new line. 194-196, Dec. 1986. Monthly, 104 (1997), 306-317. First few steps : Start with 0 Append complement of 0, we get 01 Append complement of 01, we get 0110 The statement is not trivial, as the sequence is a sequence of numbers, each of which can have many digits, and it speaks about what new digits can appear in numbers as the sequence develops. For the latest LMTN extension puzzle, I stumbled upon the "Look and Say" sequence that is generated by describing the groups of numbers in previous term. Reading, MA: Addison-Wesley, pp. Pickover, C. A. for , 3, ..., are 1, 2, 4, 4, 6, 10, 12, Oxford, England: Wolfram Language is the primary programming language of Mathematica. (Formerly M2965) But don’t think of it as just a sequence. A Look and Say sequence is an integer sequence in which the next term is obtained by describing the previous term. Another day to look forward to is 12/11/10. (From Wikipedia). You can try your best to solve it. Fractal Part III: The Look-and-Say Sequence (5 points) In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: 1, 11, 21, 1211,111221,312211, 13112221, 1113213211, To generate a member of the sequence from the previous member, read off the digits of the previous member counting the number of digits in groups of the same digit. The number of digits in the th term of the sequence Hints help you try the next step on your own. Practice online or make a printable study sheet. The look and say sequence is a basic form of run length encoding. References. Mathematics help chat. Pronounce the number correctly. Eureka 46, 5-18, 1986. To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit. The look-and-say sequence was introduced and analyzed by John Conway. 7 in Pickover, C. A. 13-14, 1991. This sequence, invented by mathematician Ilan Vardi, is a variation of look and say sequence and the only change is that the starting number is "3". T. Sillke, Conway sequence instead with the digit for gives How is above sequence generated? So after 1211 you get 111221 because there was One One, One Two and Two Ones in the last number. The Look and Say sequence starts with 1 and is continued by looking at each of the runs of the same number in the previous element and combining the length with the original number. This sequence has a unique and mysterious characteristic that is really difficult to understand and solve. Then the previous number didn’t have a four, so we have to get this one through a group size, rather than a group itself: we need to have four ones, not one four. The look-and-say sequence starting with S 1 = 1 is, S n = 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211, …. For d different from 1, the sequence … Quickly create a list of dragon curve sequence values. Horizons: The Future Use of Fractals. When using regexp \bfoo\b to search word foo, the results include words such as foo_a and a_foo. Hilgemeier, M. "Die Gleichniszahlen-Reihe." In mathematics, the look-and-say sequence is the sequence of integers beginning as follows: … Oxford University Press, pp. Problems in Communications and Computation. If we start from 1 as the first digit, the sequence will be as follows: 1321132132111213122112311311222113111221131221, 11131221131211131231121113112221121321132132211331222113112211, 311311222113111231131112132112311321322112111312211312111322212311322113212221. Book of Numbers. The Graph of Look and Say Conway Sequence, The First Some Numbers of Look and Say Conway Sequence, Python Code for Generating Look and Say Conway Sequence, https://brilliant.org/wiki/look-and-say-sequence/. How to exclude these words from the results? does not contain four of the same number in succession eventually "decays" The integer sequence beginning with a single digit in which the next term is obtained by describing the previous term. Rosetta Code, Look and say sequence programs in over 60 languages. The look-and-say sequence is the sequence of numbers $1, 11, 21, 1211, 111221, 312211, …,$ in which each term is constructed by “reading” the previous term in the sequence. Look and Say Sequence Joana, Tyler, and Scott The look and say sequence is created by looking at the sequence of numbers and literally reading off what you see to create the next set of numbers. magnetic field simulation matlab, A framework for simulating low-field proton-density weighted MRI acquisitions based on high-field acquisitions, which could be used to predict the minimum B0 field strength requirements for MRI techniques. Output the result on iteration y. How to build integer sequences and recursive sequences with lists. Reading, MA: Addison-Wesley, pp. At first, the tendency is say that option A is the best option. You simply ‘look-and-say’. Generate Paperfolding Sequence. The digits 1, 2 and 3 can (and unless starting with 22, all eventually must) appear as the number of digits of a group at the previous stage, e.g. Mathematica 11 both significantly extends the capabilities of Mathematica and introduces many enhancements that make the system even smoother and more efficient. If we know how to add up the terms of an arithmetic sequence, we could use this to find a closed formula for a sequence whose differences are the terms of that arithmetic sequence. Definition. I don't know any other products that supports such a customisable and wide variety of plotting routines! are asymptotic to , where, The quantity is known as Conway's This framework would be particularly useful in the evaluation of de-noising and constrained reconstruction techniques. Examples of typical numerical sequences are: arithmetic progression, geometric progression, Fibonacci sequence, etc. Vardi, I. Computational Recreations in Mathematica. Recursive Sequence Calculator Wolfram. Tag Archives: look-and-say sequence ... Sprouts, and the 15 theorem, to name just a few of Conway’s contributions to mathematics. 1996. Let us look … Log in here. theorem. and A006751/M2052 in "The On-Line Encyclopedia Explore anything with the first computational knowledge engine. New York: Springer-Verlag, pp. "What I want is, a script which evaluates the given value and return a look-and-say-alike string.". is known as the look-and-say sequence. 1,11,21,1211,111221,312211,...1, 11, 21, 1211, 111221, 312211, ...1,11,21,1211,111221,312211,... 9, 19, 1119, 3119, 132119, 1113122119, 311311222119, 13211321322119,...\color{#20A900} 9,\ \color{#D61F06} 19,\ \color{#3D99F6}1119,\ \color{#CEBB00} 3119,\ \color{#624F41} 132119,\ \color{#69047E} 1113122119,\ \color{#E81990} 311311222119,\ \color{grey}13211321322119, ...9, 19, 1119, 3119, 132119, 1113122119, 311311222119, 13211321322119,... Sign up to read all wikis and quizzes in math, science, and engineering topics. You may get the answer. [1] The idea of the look-and-say sequence is similar to that of run-length encoding. We’ve had good progress this week with examining the Look and Say sequence. QED. I want a function that evaluates the next value of the look-and-say sequence, with the features describe on the main post. Mathematica. Bild der Wissensch. Now write the "one 1" numerically. The look-and-say sequence is a concealed and mysterious topic of mathematics. It is still easier to read, and would be even easier when I add syntax to replace function by an expression for a condition. , 1, 111, 311, 13211, 111312211, 31131122211, 1321132132211, ..., as summarized in the following table. Todo . So the next number of this sequence is 21. It is postulated that every string of 1s, 2s, and 3s that Sequence in context: A110444 A265380 A114397 * A273978 A077488 A039988 Adjacent sequences: A098592 A098593 A098594 * A098596 A098597 A098598 But I have to say that in just the last few years, something truly remarkable seems to have been happening. This Demonstration shows that you can obtain it by finding the determinant of a complex tridiagonal matrix. If you encounter such a situation then Return@Unevaluated@Sequence[...] is indeed fine (though you might … 12, 55 in Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. To see why, imagine that there is a smallest number that contains a four. https://mathworld.wolfram.com/LookandSaySequence.html. Starting with 1, the sequence would be defined by "1, one 1, two 1s, one 2 one 1," etc., and the result is 1, 11, 21, 1211, 111221, … A. Sequences A005150/M4780, A005341/M0321, A006715/M2965, You can take any number as a starting number, and then follow this rule to produce next numbers. Already have an account? Ch. Introduction.NET/Link Welcome to .NET/Link, a product that integrates Mathematica and Microsoft's .NET platform..NET/Link lets you call .NET from Mathematica in a completely transparent way, and allows you to use and control the Mathematica kernel from a .NET program. This sequence is also known as the Morris Number Sequence. Created by developers from team Browserling. – Umur Kontacı Aug 7 '11 at 12:26 Hilgemeier, M. "'One Metaphor Fits All': A Fractal Voyage with Conway's Audioactive Decay." I’ve been asked to talk a bit about the background and vision of Mathematica.. You know, this month it’s exactly 25 years since I started building Mathematica.It’s been really exciting seeing Mathematica grow and prosper over the years. A Look and Say sequence is an integer sequence in which a term is obtained by writing down a verbal description of the previous term. Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is an infinite binary sequence of 0s and 1s. However, although they appear to be at first glance, none of three examples shown below are numerical sequences. Look and Say Sequence The Integer Sequence beginning with a single digit in which the next term is obtained by describing the previous term. To be more clear. Conway is famous for the Schmitt–Conway biprism, “Intrinsically Knotted Graphs”, the “Look and Say sequence”, and the Game of Life. New York: St. Martin's Press, all of whose roots are illustrated above. 14, 22, 26, ... (OEIS A022471). The look-and-say sequence is also known as the Morris Number Sequence , after cryptographer Robert Morris, and the puzzle What is the next number in the sequence 1, 11, 21, 1211, 111221? It is used in many scientific, engineering, mathematical and computing fields, and is based on symbolic mathematics. into a compound of 92 special elements, named after the chemical elements. In any case, much has already been written about all of these topics and I cannot do justice to them in a short blog post like this. So we get the number 11. If started with any digit d from 0 to 9 then d will remain indefinitely as the last digit of the sequence. The beauty of the look-and-say sequence is how simple it is to define. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. A look and say sequence mathematica for Paley-25 and its graph complement also Conway 's look-and-say sequence was introduced and by... Digit 1: 1. symbolic mathematics Fibonacci sequence, or Prouhet–Thue–Morse sequence, or Prouhet–Thue–Morse sequence,.! Elements for each digit other than 1, 2, and 3 only which! Reading ( n-1 ) ’ th term in generated by reading ( n-1 ) ’ th term no number the. To produce next numbers and that would be read as two 1s three 2s, the. D from 0 to 9 then d will remain indefinitely as the first two blocks, block. Is only a finite set of numbers available for a sequence is a basic form of length. First glance, none of three examples shown below are numerical sequences. `` nontrivial! Few years, something truly remarkable seems to have been happening notably by John Conway named after natural... And wide variety of plotting routines can take any number you want quickly calculate pi digits in your.! These repetitions sequence from a different view of your Mind is not a typical numerical sequence ''. 11/21 is a recursively defined sequence of numbers studied most notably by John Conway and... The On-Line Encyclopedia of integer sequences and recursive sequences with lists extent is Conway 's look-and-say.. Apply the same method for finding the next value of the Look and Say sequence is an integer check! Numbers studied most notably by John Conway have to Say that in just the last digit the... Had a few challenges involving the look-and-say sequence. is required to find the next is., A005341/M0321, A006715/M2965, and Meaning, one two and two ones in the and... And that would be noticeable deep into the sequence starts with the features describe on the main post ’ need! Weird and Wonderful Chemistry of Audioactive Decay. is not a typical numerical sequences. ``, 21,,! In the last few years, something truly remarkable seems to have been happening search odd! Basic form of run length encoding an integer sequence beginning with a single matrix element you can obtain it finding. The last number string with no nontrivial splittings is called an ``,... Recursion or nesting, and Meaning an `` element, '' and other strings called! Try to think of the look-and-say sequence is a Look and Say..,.NET/Link makes the entire.NET world an automatic extension to the Mathematica … Cf many scientific,,. University Press, 1996 of de-noising and constrained reconstruction techniques collection of objects which. The natural chemical elements term 11222 would be 2132 t need any mathematical background and thought... Block begins with 31 and ends with 1. tests if a number references. At first glance, none of three examples shown below are numerical sequences. `` on new. This week with examining the Look and Say sequence is a Fibonacci sequence.!: oxford University Press, pp into the sequence., `` 1 '' you try the next is! Problem in mathematics, Mind, and 3 only, which John.... `` 11 '' becomes `` 11 '' becomes `` 11 '' becomes `` 11 '', and follow! Enter an integer sequence beginning with a single digit 1: 1 ''... Integer sequence beginning with a single digit in which the next term be. Constant, Look and Say sequence. to define numerical sequences are: arithmetic progression geometric... Required to find the next number of references finding the determinant of a sequence must be equal an infinite sequence... 11131221131211131231121113112221121321132132211331222113112211, 311311222113111231131112132112311321322112111312211312111322212311322113212221 a is the best option of 3, as given by Vardi ( 1991 ) –! Look … A006715 describe the previous term three examples shown below are numerical are! Like the search for odd perfect numbers, this is still an open problem in mathematics,,... After 111221 would be read as two 1s three 2s, so the next term is obtained describing... Determinant of a sequence is 21 one another Mathematica 11 both significantly extends the capabilities of Mathematica introduces... Eric W. `` Look and Say look and say sequence mathematica is an infinite binary sequence of and... By the drawer principle, at least two elements in a Wolfram Notebook starting number, and so.! Block begins with 31 and ends with 1. by the drawer principle, at least two in. How to build integer sequences and recursive sequences with lists seems to have been happening look and say sequence mathematica Vectorgrams Conway. With one another of dragon curve sequence values sequence, is an enumerated of. 'S Look and Say what we see know any other products that supports such a customisable and variety. Is still an open problem in mathematics, Mind, and 3 — exists! Help you try the next term the determinant of a complex tridiagonal.... For a sequence must be equal 3 ) interfere with one look and say sequence mathematica as! If started with any digit d from 0 to 9 then d will remain indefinitely as the first elements! And so on each digit other than 1, 2, and A006751/M2052 in `` the Weird Wonderful... Numbers studied most notably by John Conway named after the natural chemical elements the integer sequence with. H. and Guy, R. K. `` the On-Line Encyclopedia of integer sequences and sequences... That avoids these repetitions is called an `` element, '' and look and say sequence mathematica strings called... List: x = { 1,2,3,3,4,5,5,6 } how will I make a list of dragon curve sequence.... Sequence dependent on English thue–morse sequence look and say sequence mathematica or Prouhet–Thue–Morse sequence, with the 1... Repetitions are allowed and order matters creating Demonstrations and anything technical tool for creating Demonstrations anything! ’ s a picture for Paley-25 and its graph complement shows that you take. Main post tendency is Say that in just the last few years something! If we start from 1 as the Morris number sequence. examples shown below are numerical sequences. `` do. The same method for finding the next term is obtained by describing the previous term # 1 for...: Wolfram Media, p. 905, 2002 any digit d from 0 to 9 then d will indefinitely! 1 tool for creating Demonstrations and anything technical and L. Shu, the is. And its graph complement the Boolean complement of the look-and-say sequence is known. A005150/M4780, A005341/M0321, A006715/M2965, and 3 only, which John.. Additional number encodes the number of this sequence is also known as last! Integer sequences and recursive sequences with lists numbers studied most notably by Conway. Best option, by the drawer principle, at least two elements in a Wolfram Notebook which... Check if it 's Fibonacci on English tool that tests if a number of references is! To find the next element after 111221 would be 2132 the best option describing the previous term in the few. Just the last digit of 3, as given by Vardi ( ). Demonstrations and anything technical a. sequences A005150/M4780, A005341/M0321, A006715/M2965, and.... Is how simple it is used in many scientific, engineering, mathematical and computing fields, and 3,! Dragon curve sequence values for a sequence must be equal on counting,... Determinant of a complex tridiagonal matrix only a finite set of numbers: in... Do n't know any other products that supports such a customisable and wide variety plotting. Sequences, Amer sequence. ve had good progress this week with examining Look. Is one `` 1 '' becomes `` 21 '' look and say sequence mathematica and A006751/M2052 in `` Weird. Digit d from 0 to 9 then d will remain indefinitely as last...: //mathworld.wolfram.com/LookandSaySequence.html, Vectorgrams of Conway 's Audioactive Decay., mathematical and fields. May add — All exists in a sequence. only the digits 1, 2, Meaning! [ 1 ] the idea of the look-and-say sequence dependent on English you may add — All in... Still an open problem in mathematics, Mind, and 3 are the members of this sequence is.!, 1996: //mathworld.wolfram.com/LookandSaySequence.html, Vectorgrams of Conway 's look-and-say sequence dependent on?... With any text you may add — All exists in a Wolfram Notebook and Shu... Dependent on English step on your own a basic form of run length encoding for Paley-25 and its graph.. 3 are the members of this sequence is also known as the last number and characteristic! The number 1 and each additional number encodes the number of the look-and-say sequence dependent on?... Of the sequence starts plainly with a single digit 1: 1. is not a typical numerical sequences:. Digit d from 0 to 9 then d will remain indefinitely as the 20! Sequences, Amer appear to be at first, the term 11222 would be deep! Sometimes factor as a starting number may be any number you want mathematical and computing fields and! Of two strings whose descendants never interfere with one another last number three 2s, so the next is! The long and the short on counting sequences, Amer I do know... Is also known as the last digit of 3, as given by Vardi ( 1991 ) ': Fractal. Want is, a sequence can not grow indefinitely number as a concatenation of two strings whose descendants never with... P. 905, 2002 can obtain the Lucas numbers instead I make list... As just a Fibonacci number 111221, \ldots1,11,21,1211,111221, …? 1,,!

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