A354464 Number of distinct bracelets of length n (A000029) that eventually result in a cycle with length 2 or greater when used as the starting conditions for a rule 18 cellular automaton in a cyclic universe of circumference n.

0, 0, 0, 1, 4, 3, 0, 11, 35, 62, 108, 182, 273, 195, 17, 1131, 3976, 7464, 13970, 26413, 50049, 95638, 182763, 350249, 671304

Offset

1,5

Links

Table of n, a(n) for n=1..25.

Example

For n = 4, the six bracelets are 0000, 1000, 1100, 1010, 1110, 1111. a(4)=1 because only 1100 eventually enters a cycle that is not 0000 -> 0000.

Crossrefs

Cf. A000029.

Sequence in context: A176214 A011091 A335821 * A136160 A268439 A120362

Adjacent sequences: A354461 A354462 A354463 * A354465 A354466 A354467

Keyword

nonn,more

Author

Angelo Rosso, Jul 27 2022

Extensions

Definition clarified and corrected by Angelo Rosso, Nov 02 2023

Term 2 corrected by Angelo Rosso, Nov 02 2023

a(21)-a(25) from Pontus von Brömssen, Nov 03 2023

Status

approved