A334514 Eventual period of a single cell in rule 107 cellular automaton in a cyclic universe of width n.

2, 2, 3, 2, 15, 2, 28, 2, 36, 20, 11, 12, 117, 28, 60, 8, 68, 36, 76, 20, 84, 44, 92, 24, 100, 52, 108, 28, 116, 60, 124, 32, 132, 68, 140, 36, 148, 76, 156, 40, 164, 84, 172, 44, 180, 92, 188, 48, 196, 100, 204, 52, 212, 108, 220, 56, 228, 116, 236, 60, 244, 124

Offset: 1

Author

N. J. A. Sloane, May 05 2020

Keywords

• nonn

Comments

Bradley Klee computed a(1)-a(10).

References

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

Crossrefs

Cf. A180001, A334496, A334499-A334515.

Formula

Conjectures from Colin Barker, May 09 2020: (Start)

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).

a(n) = 2*a(n-4) - a(n-8) for n>24.

(End)

Extensions

More terms from Jinyuan Wang, May 09 2020