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 A384110 #16 May 26 2025 05:50:31 %S A384110 1,3,2,6,13,43,125,442,1498,5393,19187,69186,248111,888783,3159624, %T A384110 11137858,38773614,132891874,446478045,1463990116,4662369227, %U A384110 14350218212 %N A384110 Number of connected components of n faces of the rhombicosidodecahedron up to the 120 rotations and reflections of the rhombicosidodecahedron. %C A384110 Two faces are connected if they share an edge. %C A384110 These are "free" polyforms because both rotations and reflections are allowed. %C A384110 The rhombicosidodecahedron is the polyhedral dual of the deltoidal hexecontahedron. %H A384110 Peter Kagey, <a href="/A384110/a384110.pdf">Illustration of a(1)-a(3)</a>. %H A384110 Wikipedia, <a href="https://en.wikipedia.org/wiki/Rhombicosidodecahedron">Rhombicosidodecahedron</a>. %e A384110 a(1) = 3 because the rhombicosidodecahedron is not face transitive, but has three distinct orbits of faces: (1) triangles, (2) squares, and (3) pentagons. %Y A384110 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (cuboctahedron), A384072 (snub cube), A384104 (truncated tetrahedron), A384107 (icosidodecahedron), A384108 (truncated dodecahedron), A384109 (truncated icosahedron), A384110 (rhombicosidodecahedron), A384111 (truncated icosidodecahedron), A384112 (snub dodecahedron). %K A384110 nonn,fini,more %O A384110 0,2 %A A384110 _Peter Kagey_, May 20 2025 %E A384110 a(11)-a(21) from _Bert Dobbelaere_, May 26 2025