A367036 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 161 cellular automaton in a cyclic universe of circumference n.

0, 1, 0, 3, 6, 5, 0, 21, 41, 72, 123, 196, 263, 141, 18, 1440, 4096, 7653, 14251, 26900, 50771, 96743, 184329, 352548, 674886

Offset: 1

Author

Angelo Rosso, Nov 02 2023

Keywords

• nonn
• more

Examples

			For n = 2, the three bracelets are 00, 10, 11. Their progressions are as follows:
  00 -> 11 -> 11 -> 11 -> ...
  10 -> 01 -> 10 -> 01 -> ...
  11 -> 11 -> 11 -> 11 -> ...
a(2)=1 because only 01 eventually enters a cycle.
		

Crossrefs

Cf. A000029, A334506.

Extensions

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