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A334513
Eventual period of a single cell in rule 25 cellular automaton in a cyclic universe of width n.
0
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
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 05 2020
EXTENSIONS
More terms from Jinyuan Wang, May 09 2020
STATUS
approved