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A334500
For 0 <= R <= 255, let s(R,n) = eventual period of a single cell in a Rule R cellular automaton operating in a cyclic universe of width n; a(n) is the nearest integer to max_R s(R,n)/n (rounded down in case of ties).
2
2, 1, 2, 2, 6, 3, 18, 5, 56, 43, 89, 8, 63, 157, 455, 376, 4636, 434, 9680, 7129, 16804, 5585, 70904, 7710, 111082, 12006, 3025488, 10890, 15977515, 197395, 39066498, 832400, 100470231, 1176843, 707225531, 3758959, 1096841389, 14082900, 3408522124, 98420590
OFFSET
1,1
COMMENTS
Nearest integer to A334499(n)/n.
REFERENCES
Bradley Klee, Posting to Math Fun Mailing List, Apr 26 2020
EXAMPLE
For R = 45, the sequence {s(R,1)..s(R,10)} is 2,2,1,2,30,18,126,2,504,430 (see A334508), and s(45,10) = 430 is the greatest value of any s(R,10), so a(10) = 430/10 = 430.
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 05 2020
EXTENSIONS
a(11)-a(40) (based on data in A334499) from Pontus von Brömssen, Oct 15 2022
STATUS
approved