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A334501
Eventual period of a single cell in rule 190 cellular automaton in a cyclic universe of width n.
0
1, 1, 1, 4, 5, 6, 7, 4, 9, 10, 11, 4, 13, 14, 15, 4, 17, 18, 19, 4, 21, 22, 23, 4, 25, 26, 27, 4, 29, 30, 31, 4, 33, 34, 35, 4, 37, 38, 39, 4, 41, 42, 43, 4, 45, 46, 47, 4, 49, 50, 51, 4, 53, 54, 55, 4, 57, 58, 59, 4, 61, 62, 63, 4, 65, 66, 67, 4, 69, 70
OFFSET
1,4
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*(1 + x + x^2 + 4*x^3 + 3*x^4 + 4*x^5 + 5*x^6 - 4*x^7 - x^9 - 2*x^10) / ((1 - x)^2*(1 + x)^2*(1 + x^2)^2).
a(n) = 2*a(n-4) - a(n-8) for n>8.
(End)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 05 2020
EXTENSIONS
More terms from Bert Dobbelaere, May 09 2020
STATUS
approved