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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, 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
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
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