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For 0 <= R <= 255, let s(R,n) = eventual period of a single cell in a Rule R cellular automaton operating in a cyclic universe of width n; a(n) = max_R s(R,n).
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%I #32 Nov 09 2022 19:09:25

%S 2,2,6,8,30,18,126,40,504,430,979,102,819,2198,6820,6016,78812,7812,

%T 183920,142580,352884,122870,1630792,185040,2777040,312156,81688176,

%U 304913,463347935,5921860,1211061438,26636800,3315517623,40012662,24752893585,135322524,40583131393,535150200,132932362849,3936823600

%N For 0 <= R <= 255, let s(R,n) = eventual period of a single cell in a Rule R cellular automaton operating in a cyclic universe of width n; a(n) = max_R s(R,n).

%D Bradley Klee, Posting to Math Fun Mailing List, Apr 26 2020.

%H Bert Dobbelaere, <a href="/A334499/a334499.cpp.txt">C++ program</a>

%H Bradley Klee, <a href="/A334499/a334499.txt">Table giving R, then {s(R,1)..s(R,10)} for 0 <= R <= 255</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%F a(n) <= A357950(n). Equality holds for all n <= 35, except n = 12, 13, 23, 24, 25, 26, 28, 34. - _Pontus von Brömssen_, Nov 09 2022

%e For R = 45, the sequence {s(R,1)..s(R,10)} is 2,2,1,2,30,18,126,2,504,430 (see A334508), and s(45,10) = 430 is the greatest value of any s(R,10), and a(10) = 430.

%Y Cf. A085587, A180001, A334496, A334500-A334515, A357950.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, May 05 2020

%E More terms from _Bert Dobbelaere_, May 09 2020