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%I #14 May 10 2020 04:30:19
%S 2,2,3,2,15,2,28,2,36,20,11,12,117,28,60,8,68,36,76,20,84,44,92,24,
%T 100,52,108,28,116,60,124,32,132,68,140,36,148,76,156,40,164,84,172,
%U 44,180,92,188,48,196,100,204,52,212,108,220,56,228,116,236,60,244,124
%N Eventual period of a single cell in rule 107 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 + 3*x^2 + 2*x^3 + 11*x^4 - 2*x^5 + 22*x^6 - 2*x^7 + 8*x^8 + 18*x^9 - 42*x^10 + 10*x^11 + 60*x^12 - 10*x^13 + 66*x^14 - 14*x^15 - 130*x^16 - 33*x^18 + 16*x^19 + 65*x^20 - 8*x^23) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2).
%F a(n) = 2*a(n-4) - a(n-8) for n>24.
%F (End)
%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