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 A384254 #17 Jun 09 2025 14:40:40 %S A384254 1,2,2,9,40,290,2529,26629,301289,3568048,43305326,534671742, %T A384254 6684869463 %N A384254 Number of connected components of n polyhedra in the rectified cubic honeycomb up to translation, rotation, and reflection of the honeycomb. %C A384254 Equivalently the number of connected components of n polyhedra in the truncated cubic honeycomb up to translation, rotation, and reflection of the honeycomb. %H A384254 Peter Kagey, <a href="/A384254/a384254.pdf">Illustration of a(3)=9</a>. %H A384254 Wikipedia, <a href="https://en.wikipedia.org/wiki/Convex_uniform_honeycomb#The_C%CC%833,_%5B4,3,4%5D_group_(cubic)">Convex uniform honeycomb</a> %e A384254 For n=1, the a(1)=2 different components are the cuboctahedron and the octahedron. %e A384254 For n=2, the a(2)=1 component is a cuboctahedron connected to an octahedron. %e A384254 For n=3, there are A000162(3)=2 components that consist of three cuboctahedra, four connected components that consist of two cuboctahedra and an octahedron, and three components that consist of a cuboctahedron and two octahedra. %Y A384254 Cf. A038119 (cubic honeycomb), A038181 (bitruncated cubic honeycomb), A343577 (truncated square tiling), A343909 (tetrahedral-octahedral honeycomb), A384274 (rectified cubic honeycomb). %K A384254 nonn,more,hard %O A384254 0,2 %A A384254 _Peter Kagey_, May 23 2025 %E A384254 a(8)-a(12) from _Bert Dobbelaere_, Jun 09 2025