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.
%I A316093 #21 Aug 16 2018 12:24:40 %S A316093 1,10,23,57,776,333,240,8121,17946,2916,800,44608,200961,176160,16725, %T A316093 2226,168675,1124208,1995852,1045050,70911,5390,501528,4281300, %U A316093 11198720,11877825,4485960,241913,11712,1261701,12773538,42697300,66700400,51044337,15385706,701968,23355,2807296,32195646,127461216,254387500,286724160,175153881,44761216,1798281,43450,5685903,71718336,321364540,759518850,1093653675,983988208,509689776,114826410,4173775 %N A316093 Non-isomorphic colorings of the cube under rotations, using at most N colors on the faces and M colors on the vertices. Square array H(N,M) with N,M > 0 read by antidiagonals. %H A316093 Marko Riedel et al., <a href="https://math.stackexchange.com/questions/2828924/">coloring cube sides and vertices</a> %F A316093 H(N,M) = (1/24) (N^6 M^8 + 6 N^3 M^2 + 3 N^4 M^4 + 8 N^2 M^4 + 6 N^3 M^4). %F A316093 Cycle index is (1/24)*(a1^6 b1^8 + 6 a1^2 a4 b4^2 + 3 a1^2 a2^2 b2^4 + 8 a3^2 b1^2 b3^2 + 6 a2^3 b2^4). %e A316093 Square array begins: %e A316093 1, 10, 57, 240, 800, ... %e A316093 23, 776, 8121, 44608, 168675, ... %e A316093 333, 17946, 200961, 1124208, 4281300, ... %e A316093 2916, 176160, 1995852, 11198720, 42697300, ... %Y A316093 H(N,1) (first row) is A047780. H(1,M) (first column) is A000543. %K A316093 tabl,nonn,easy %O A316093 1,2 %A A316093 _Marko Riedel_, Jun 24 2018