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 A386555 #18 Aug 03 2025 18:28:36 %S A386555 1,10,355,13375,404775,9775852,195462780,3322598660,49007581605, %T A386555 637095486150,7390299421967,77262191948715,733990748643925, %U A386555 6380073195502170,51040584989484940,377700327297519628,2596689746386426870,16649363658225874915,99896181927621097005 %N A386555 Number of 2-colorings of an 5 X 5 X 5 grid, up to rotational symmetry, by the number of black cells. %C A386555 This sequence is finite, having 5^3+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]^125 + 8 * a[1]^5 * a[3]^40 + 9 * a[1]^5 * a[2]^60 + 6 * a[1]^5 * a[4]^30). %D A386555 F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, 1973, page 35. %H A386555 Sean A. Irvine, <a href="/A386555/b386555.txt">Table of n, a(n) for n = 0..125</a> %F A386555 a(n) = [z^n] Z(C; 1+z). %Y A386555 Cf. A334616, A386553, A386554, A386556. %K A386555 nonn,fini,full %O A386555 0,2 %A A386555 _Marko Riedel_, Jul 25 2025