|
%I #12 Dec 09 2023 20:46:50
%S 0,1,0,3,6,5,0,21,41,72,123,196,263,141,18,1440,4096,7653,14251,26900,
%T 50771,96743,184329,352548,674886
%N 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.
%e For n = 2, the three bracelets are 00, 10, 11. Their progressions are as follows:
%e 00 -> 11 -> 11 -> 11 -> ...
%e 10 -> 01 -> 10 -> 01 -> ...
%e 11 -> 11 -> 11 -> 11 -> ...
%e a(2)=1 because only 01 eventually enters a cycle.
%Y Cf. A000029, A334506.
%K nonn,more
%O 1,4
%A _Angelo Rosso_, Nov 02 2023
%E a(21)-a(25) from _Pontus von Brömssen_, Nov 03 2023
|
