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A334509 Eventual period of a single cell in rule 41 cellular automaton in a cyclic universe of width n. 0
2, 2, 2, 2, 15, 2, 28, 8, 36, 20, 44, 12, 52, 28, 60, 16, 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 (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..62.

FORMULA

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

G.f.: x*(2 + 2*x + 2*x^2 + 2*x^3 + 11*x^4 - 2*x^5 + 24*x^6 + 4*x^7 + 8*x^8 + 18*x^9 - 10*x^10 - 2*x^11 - 5*x^12 - 10*x^13) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2).

a(n) = 2*a(n-4) - a(n-8) for n>14.

(End)

CROSSREFS

Cf. A180001, A334496, A334499-A334515.

Sequence in context: A084961 A226398 A248768 * A029643 A100687 A067096

Adjacent sequences:  A334506 A334507 A334508 * A334510 A334511 A334512

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 October 19 20:37 EDT 2021. Contains 348091 sequences. (Running on oeis4.)