Look and Say Sequence Substrings

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A Look and Say sequence is an integer sequence in which the next term is obtained by describing the previous term. 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, … . The visualization compares the three sequences starting with one, two, and three with steps generated from the selected initial sequence.
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Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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Conway called the recursion "audioactive decay" and proposed to rename substrings like atoms because of their matching relative abundance in sequence terms derived from random initial strings.
Permanent Citation
"Look and Say Sequence Substrings"
http://demonstrations.wolfram.com/LookAndSaySequenceSubstrings/
Wolfram Demonstrations Project
Published: March 7 2011