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

1,1

Comments

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

References

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

Links

Table of n, a(n) for n=1..62.

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)

Crossrefs

Cf. A180001, A334496, A334499-A334515.

Sequence in context: A226340 A334663 A016008 * A363001 A334513 A016009

Adjacent sequences: A334511 A334512 A334513 * A334515 A334516 A334517

Keyword

nonn

Author

N. J. A. Sloane, May 05 2020

Extensions

More terms from Jinyuan Wang, May 09 2020

Status

approved