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Eventual period of a single cell in rule 62 cellular automaton in a cyclic universe of width n.
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%I #18 Jun 29 2023 13:38:00

%S 1,1,1,8,5,3,14,3,3,3,3,3,26,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%T 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

%U 3,3,3,3,3,3,3,3,3,3,3,3,3,3

%N Eventual period of a single cell in rule 62 cellular automaton in a cyclic universe of width n.

%C _Bradley Klee_ computed a(1)-a(10).

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

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).

%F Conjectures from _Colin Barker_, May 13 2020: (Start)

%F G.f.: x*(1 + 7*x^3 - 3*x^4 - 2*x^5 + 11*x^6 - 11*x^7 + 23*x^12 - 23*x^13) / (1 - x).

%F a(n) = a(n-1) for n>14.

%F (End)

%Y Cf. A180001, A334496, A334499-A334515.

%K nonn

%O 1,4

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

%E More terms from _Bert Dobbelaere_, May 09 2020