navbar-top.gif
btn_spacer.gifHomeTopicsLatestRandomAboutFAQsParticipateAuthoring Areabtn_spacer.gif

Look and Say Sequence Steps

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. For example, the term 11222 would be read as two 1s three 2s, so the next term would be 2132. Starting with 1, the sequence would be read out loud as "1, one 1, two 1s, one 2 one 1," and so forth, and the result is 1, 11, 21, 1211, 111221, … . The visualization checks whether the initial string could be the result of an earlier step and computes the next step. The buttons at the bottom say the descriptions out loud.

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.
Powered by Wolfram Mathematica
Contact The Wolfram Demonstrations Project Team    Site Index    Wolfram Research
©  2008 The Wolfram Demonstrations Project & Contributors    Terms of Use    Privacy Policy    RSS    Atom