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.

A080638 Number of positions that the 3 X 3 X 3 Rubik cube puzzle can be in after exactly n moves, up to equivalence under the full group of order 48 of the cube and with a half-turn is considered to be 1 move.

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%I A080638 #14 Jan 12 2025 17:36:07
%S A080638 1,2,9,75,934,12077,159131,2101575,27762103,366611212,4838564147,
%T A080638 63818720716,841134600018,11076115427897
%N A080638 Number of positions that the 3 X 3 X 3 Rubik cube puzzle can be in after exactly n moves, up to equivalence under the full group of order 48 of the cube and with a half-turn is considered to be 1 move.
%C A080638 This is the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves.
%C A080638 The total number of inequivalent positions is 901083404981813616. - Jerry Bryan, Mar 03 2003
%D A080638 Robert G. Bryan (Jerry Bryan), posting to Cube Lovers List, Jul 10, 1998.
%H A080638 Alan Bawden, <a href="ftp://ftp.ai.mit.edu/pub/cube-lovers/cube-mail-25.gz">Cube Lovers Archive, Part 25</a>
%H A080638 Rokicki, Tomas; <a href="http://forum.cubeman.org/?q=node/view/146">God's Algorithm out to 13f*</a>
%Y A080638 This is A080601 reduced by action of group of order 48. Cf. A005452, A080602.
%K A080638 nonn,fini
%O A080638 0,2
%A A080638 _N. J. A. Sloane_, Feb 28 2003
%E A080638 Added a(11)-a(13) _Tomas Rokicki_, Jul 25 2009