WOLFRAM|DEMONSTRATIONS PROJECT

Look and Say Sequence Substrings

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index of initial sequence
steps
match substrings with evolutions of reference strings
minimum length of reference sequences
2
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.
The first view shows the original evolutions. The second view identifies entire steps of the simple evolutions with substrings of the sequence. You can switch between the views with the checkbox.
In the first view the upper three blocks show steps for the three simple initializations and the fourth block shows steps for your sequence. In the matching view each of the three upper blocks of the plot starts with a line that consolidates the matches with one simple evolution. The following lines mark the individual matches. The two last lines of the plot consolidate all those matches for the sequence.