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
Examples
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.
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