OFFSET
1,2
COMMENTS
This sequence is finite as we have slots for at most 26 colors.
LINKS
Marko Riedel et al., Mathematics Stack Exchange, Coloring faces, vertices, edges of a cube.
FORMULA
a(n) = Sum_{q=0..n} C(n,q) (-1)^(n-q) A356685(q).
a(n) = (n!/24) * (S2(26,n) + 9*S2(14,n) + 8*S2(10,n) + 6*S2(8,n)) where S2 is the Stirling number of the second kind (Stirling set number).
Cycle index is (1/24) * (x1^26 + 6*x1^2*x4^6 + 9*x1^2*x2^12 + 8*x1^2*x3^8).
CROSSREFS
KEYWORD
nonn,fini
AUTHOR
Marko Riedel, Aug 22 2022
STATUS
approved