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, 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

Links

Table of n, a(n) for n=1..40.

Bradley Klee, Table giving R, then {s(R,1)..s(R,10)} for 0 <= R <= 255

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.

Crossrefs

Cf. A085587, A180001, A334496, A334499-A334515, A357867.

Sequence in context: A067541 A054706 A351082 * A081727 A000020 A077014

Adjacent sequences: A334497 A334498 A334499 * A334501 A334502 A334503

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