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

1,1

References

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

Links

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

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

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

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), and a(10) = 430.

Crossrefs

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

Sequence in context: A003178 A079494 A169970 * A357950 A201499 A346201

Adjacent sequences: A334496 A334497 A334498 * A334500 A334501 A334502

Keyword

nonn

Author

N. J. A. Sloane, May 05 2020

Extensions

More terms from Bert Dobbelaere, May 09 2020

Status

approved