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 A386554 #20 Aug 03 2025 18:24:22 %S A386554 1,4,98,1744,26691,317728,3125882,25884268,184437452,1147524988, %T A386554 6311461050,30983159856,136842622391,547369124016,1993988770170, %U A386554 6646625005908,20355293012087,57473757334488,150070376844312,363328255291128,817488598547832,1712833203324840 %N A386554 Number of 2-colorings of an 4 X 4 X 4 grid, up to rotational symmetry, by the number of black cells. %C A386554 This sequence is finite, having 4^3+1 terms. The cycle index Z(C) of the permutation group C of the rotations of the cube acting on the cells is given by 1/24 (a[1]^64 + 8 * a[1]^4 * a[3]^20 + 9 * a[2]^32 + 6 * a[4]^16). %D A386554 F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, 1973, page 35. %H A386554 Sean A. Irvine, <a href="/A386554/b386554.txt">Table of n, a(n) for n = 0..64</a> %F A386554 a(n) = [z^n] Z(C; 1+z). %Y A386554 Cf. A334616, A386553, A386555, A386556. %K A386554 nonn,fini,full %O A386554 0,2 %A A386554 _Marko Riedel_, Jul 25 2025