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

2, 2, 3, 2, 15, 15, 21, 16, 9, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126

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..63.

Formula

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

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.

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

(End)

Conjecture: for n>=10, a(n) = 2*n. - Vaclav Kotesovec, May 10 2020

Crossrefs

Cf. A180001, A334496, A334499-A334515.

Sequence in context: A016008 A334514 A363001 * A016009 A110088 A322005

Adjacent sequences: A334510 A334511 A334512 * A334514 A334515 A334516

Keyword

nonn

Author

N. J. A. Sloane, May 05 2020

Extensions

More terms from Jinyuan Wang, May 09 2020

Status

approved