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A334513 Eventual period of a single cell in rule 25 cellular automaton in a cyclic universe of width n. 0

%I #16 May 10 2020 11:46:39

%S 2,2,3,2,15,15,21,16,9,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,

%T 50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,

%U 96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126

%N Eventual period of a single cell in rule 25 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

%F Conjectures from _Colin Barker_, May 09 2020: (Start)

%F G.f.: x*(2 - 2*x + x^2 - 2*x^3 + 14*x^4 - 13*x^5 + 6*x^6 - 11*x^7 - 2*x^8 + 18*x^9 - 9*x^10) / (1 - x)^2.

%F a(n) = 2*a(n-1) - a(n-2) for n>11.

%F (End)

%F Conjecture: for n>=10, a(n) = 2*n. - _Vaclav Kotesovec_, May 10 2020

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

%K nonn

%O 1,1

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

%E More terms from _Jinyuan Wang_, May 09 2020

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Last modified September 7 13:04 EDT 2024. Contains 375730 sequences. (Running on oeis4.)