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A174444 Consider the cellular automaton defined by rule 22 in a finite, circular universe of width n. Then a single live cell eventually becomes an oscillator of period a(n). 1

%I #14 Jun 28 2015 15:28:18

%S 1,1,1,1,1,1,1,1,4,4,4,4,5,1,1,1,12,12,12,12,8,8,8,8,55,28,28,28,30,1,

%T 1,1,28,28,28,28,24,24,24,24,116,124,124,124,16,16,16,16,162,252,252,

%U 252,56,56,56,56,461,60,60,60,1,1,1,1,60,60,60,60,56,56

%N Consider the cellular automaton defined by rule 22 in a finite, circular universe of width n. Then a single live cell eventually becomes an oscillator of period a(n).

%H Alois P. Heinz, <a href="/A174444/b174444.txt">Table of n, a(n) for n = 1..184</a>

%e For n=9, start with a 9-cell wide grid, and assume that the edges wrap around. In generation 0, the pattern is 000010000

%e The progression is

%e 000010000

%e 000111000

%e 001000100

%e 011101110

%e 100000001

%e 010000010

%e 111000111

%e 000101000

%e 001101100

%e 010000010

%e At which point the pattern becomes an oscillator of period 4. Thus, a(9)=4.

%K nonn

%O 1,9

%A _Ben Branman_, Nov 28 2010

%E More terms from _Alois P. Heinz_, Jan 17 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)