cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A367036 #12 Dec 09 2023 20:46:50
%S A367036 0,1,0,3,6,5,0,21,41,72,123,196,263,141,18,1440,4096,7653,14251,26900,
%T A367036 50771,96743,184329,352548,674886
%N 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.
%e A367036 For n = 2, the three bracelets are 00, 10, 11. Their progressions are as follows:
%e A367036   00 -> 11 -> 11 -> 11 -> ...
%e A367036   10 -> 01 -> 10 -> 01 -> ...
%e A367036   11 -> 11 -> 11 -> 11 -> ...
%e A367036 a(2)=1 because only 01 eventually enters a cycle.
%Y A367036 Cf. A000029, A334506.
%K A367036 nonn,more
%O A367036 1,4
%A A367036 _Angelo Rosso_, Nov 02 2023
%E A367036 a(21)-a(25) from _Pontus von Brömssen_, Nov 03 2023