A334499 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) = max_R s(R,n).

2, 2, 6, 8, 30, 18, 126, 40, 504, 430, 979, 102, 819, 2198, 6820, 6016, 78812, 7812, 183920, 142580, 352884, 122870, 1630792, 185040, 2777040, 312156, 81688176, 304913, 463347935, 5921860, 1211061438, 26636800, 3315517623, 40012662, 24752893585, 135322524, 40583131393, 535150200, 132932362849, 3936823600

Offset: 1

Author

N. J. A. Sloane, May 05 2020

Keywords

• nonn

Examples

			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), and a(10) = 430.
		

References

• Bradley Klee, Posting to Math Fun Mailing List, Apr 26 2020.

Links

• Bert Dobbelaere, C++ program
• Bradley Klee, Table giving R, then {s(R,1)..s(R,10)} for 0 <= R <= 255
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A085587, A180001, A334496, A334500-A334515, A357950.

Formula

a(n) <= A357950(n). Equality holds for all n <= 35, except n = 12, 13, 23, 24, 25, 26, 28, 34. - Pontus von Brömssen, Nov 09 2022

Extensions

More terms from Bert Dobbelaere, May 09 2020