A334503 Eventual period of a single cell in rule 131 cellular automaton in a cyclic universe of width n.

1, 1, 3, 8, 3, 3, 14, 16, 3, 20, 3, 3, 3, 3, 3, 32, 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, 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, 3, 3

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

Links

• Index entries for linear recurrences with constant coefficients, signature (1).

Crossrefs

Cf. A180001, A334496, A334499-A334515.

Formula

Conjectures from Colin Barker, May 13 2020: (Start)

G.f.: x*(1 + 2*x^2 + 5*x^3 - 5*x^4 + 11*x^6 + 2*x^7 - 13*x^8 + 17*x^9 - 17*x^10 + 29*x^15 - 29*x^16) / (1 - x).

a(n) = a(n-1) for n>17.

(End)

Extensions

More terms from Jinyuan Wang, May 09 2020