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.

A360361 Maximum length of the transient part when repeatedly applying the move described in A360360 to a deck of n colored cards.

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%I A360361 #4 Feb 26 2023 20:09:07
%S A360361 0,0,1,4,6,11,18,24,44,58,96,120,210,254
%N A360361 Maximum length of the transient part when repeatedly applying the move described in A360360 to a deck of n colored cards.
%e A360361 For n = 5, the initial configuration 01112 (with the top of the deck to the left) requires 6 moves to reach the first configuration in the eventual cycle: 01112 -> 10112 -> 01121 -> 10121 -> 01211 -> 10211 -> 02111 -> 20111 -> 02111. This is the maximum for 5 cards, so a(5) = 6.
%e A360361 Lexicographically first optimal initial configuration for 1 <= n <= 14:
%e A360361    n  a(n)  configuration
%e A360361    1    0   0
%e A360361    2    0   00
%e A360361    3    1   001
%e A360361    4    4   0012
%e A360361    5    6   01112
%e A360361    6   11   011023
%e A360361    7   18   0111023
%e A360361    8   24   01221034
%e A360361    9   44   012110234
%e A360361   10   58   0111234234
%e A360361   11   96   01200321345
%e A360361   12  120   011102345345
%e A360361   13  210   0122112345345
%e A360361   14  254   01112345326546
%Y A360361 Cf. A360360, A360362.
%K A360361 nonn,more
%O A360361 1,4
%A A360361 _Pontus von Brömssen_, Feb 04 2023