A334501 Eventual period of a single cell in rule 190 cellular automaton in a cyclic universe of width n.
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
Keywords
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)
Extensions
More terms from Bert Dobbelaere, May 09 2020
Comments