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A334511 Eventual period of a single cell in rule 9 cellular automaton in a cyclic universe of width n. 0
2, 2, 2, 2, 2, 9, 5, 12, 18, 5, 22, 12, 26, 14, 30, 16, 34, 18, 38, 20, 42, 22, 46, 24, 50, 26, 54, 28, 58, 30, 62, 32, 66, 34, 70, 36, 74, 38, 78, 40, 82, 42, 86, 44, 90, 46, 94, 48, 98, 50, 102, 52, 106, 54, 110, 56, 114, 58, 118, 60, 122, 62, 126, 64, 130 (list; graph; refs; listen; history; text; internal format)
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..65.

FORMULA

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

G.f.: x*(2 + 2*x - 2*x^2 - 2*x^3 + 7*x^5 + 3*x^6 - 4*x^7 + 10*x^8 - 10*x^9 - 9*x^10 + 14*x^11 - 5*x^13) / ((1 - x)^2*(1 + x)^2).

a(n) = 2*a(n-2) - a(n-4) for n>14.

(End)

CROSSREFS

Cf. A180001, A334496, A334499-A334515.

Sequence in context: A010671 A339164 A323443 * A291944 A253633 A216844

Adjacent sequences:  A334508 A334509 A334510 * A334512 A334513 A334514

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 05 2020

EXTENSIONS

More terms from Jinyuan Wang, May 09 2020

STATUS

approved

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Last modified March 3 04:22 EST 2021. Contains 341756 sequences. (Running on oeis4.)