cp's OEIS Frontend

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.

A378478 The number of n-colorings of the vertices of the snub dodecahedron up to rotation.

This page as a plain text file.
%I A378478 #8 Nov 30 2024 12:54:06
%S A378478 0,1,19215358678900736,706519304586988199183738259,
%T A378478 22153799929748598169960860333637632,
%U A378478 14456028966473392453665534687042333984375,814561299678154291488767806377392301451223040,8467031012327056088703142262372040966699399765293
%N A378478 The number of n-colorings of the vertices of the snub dodecahedron up to rotation.
%C A378478 Equivalently, the number of n-colorings of the faces of the pentagonal hexecontahedron, which is the polyhedral dual of the snub dodecahedron.
%C A378478 Colorings are counted up to the rotational icosahedral symmetry group of order 60.
%H A378478 Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentagonal_hexecontahedron">Pentagonal hexecontahedron</a>
%H A378478 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_dodecahedron">Snub dodecahedron</a>
%F A378478 a(n) = 1/60*(n^60 + 15*n^30 + 20*n^20 + 24*n^12).
%F A378478 Asymptotically, a(n) ~ n^60/60.
%Y A378478 Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378473, A378474, A378475, A378476, A378477.
%K A378478 nonn
%O A378478 0,3
%A A378478 _Peter Kagey_, Nov 27 2024