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A306194 Non-isomorphic colorings of the edges of a cube using at most n colors under rotational symmetries and permutations of the colors. 1
1, 114, 3891, 29854, 87981, 143797, 170335, 177160, 178153, 178243, 178248, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249, 178249 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
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.
REFERENCES
F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, 1973.
LINKS
M. J. Dominus, Jyrki Lahtonen, Marko Riedel, Edge coloring of the cube
CROSSREFS
Cf. A060530.
Sequence in context: A220332 A162675 A221293 * A112485 A220685 A199249
KEYWORD
nonn
AUTHOR
Marko Riedel, Jan 28 2019
STATUS
approved

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Last modified February 23 14:24 EST 2024. Contains 370283 sequences. (Running on oeis4.)