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.

A306194 Non-isomorphic colorings of the edges of a cube using at most n colors under rotational symmetries and permutations of the colors.

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%I A306194 #17 Jan 29 2019 19:31:19
%S A306194 1,114,3891,29854,87981,143797,170335,177160,178153,178243,178248,
%T A306194 178249,178249,178249,178249,178249,178249,178249,178249,178249,
%U A306194 178249,178249,178249,178249,178249,178249,178249,178249,178249,178249,178249
%N A306194 Non-isomorphic colorings of the edges of a cube using at most n colors under rotational symmetries and permutations of the colors.
%C A306194 This uses Power Group Enumeration (PGE). The sequence ceases to grow once it reaches a(12) = 178249 because at most twelve colors can be represented and in a coloring with additional colors beyond the initial twelve the new colors can be permuted out and replaced by colors from the initial set, forming part of an orbit that has already been counted.
%D A306194 F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, 1973.
%H A306194 M. J. Dominus, Jyrki Lahtonen, Marko Riedel, <a href="https://math.stackexchange.com/questions/150016/">Edge coloring of the cube</a>
%H A306194 Marko Riedel, <a href="/A306194/a306194_1.maple.txt">Maple code for standard Power Group Enumeration using the cycle indices of the slots and the action on the repertoire of colors.</a>
%Y A306194 Cf. A060530.
%K A306194 nonn
%O A306194 1,2
%A A306194 _Marko Riedel_, Jan 28 2019