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 A359662 #12 Jan 12 2023 23:01:41
%S A359662 1,5,8,15,16,24,35,40,70,80,120,126,160,210,240,330,495,560,600,715,
%T A359662 1001,1120,1365,1792,1820,2016,2380,3060,3360,3876,4845,5280,5376,
%U A359662 5985,7315,7920,8855,10626,11440,12650,14950,15360,16016,17550,20475,21840,23751
%N A359662 Number of (3-dimensional) cells of regular m-polytopes for m >= 3.
%C A359662 In 3 dimensions there are five (convex) regular polytopes and each of them (trivially) consists of a single cell.
%C A359662 In 4 dimensions there are six regular 4-polytopes and they have 5, 8, 16, 24, 120, 600 3-dimensional cells (A063924).
%C A359662 In m >= 5 dimensions, there are only 3 regular polytopes (i.e., the m-simplex, the m-cube, and the m-crosspolytope) so that we can sort their number of (3-dimensional) cells in ascending order and define the present sequence.
%H A359662 MathStackExchange, <a href="https://math.stackexchange.com/questions/833758/what-are-the-formulas-for-the-number-of-vertices-edges-faces-cells-4-faces">MathStackExchange discussion concerning the number of edges of convex regular n-polytopes</a>
%H A359662 Wikipedia, <a href="https://en.wikipedia.org/wiki/List_of_regular_polytopes_and_compounds">List of regular polytopes and compounds</a>
%F A359662 Equals {{24, 120, 600} U {A000332} U {A001789} U {A130810}} \ {0}.
%e A359662 8 is a term since the hypersurface of a tesseract consists of 8 (cubical) cells.
%Y A359662 Cf. A000332, A001789, A063924, A130810.
%Y A359662 Cf. A359201 (edges), A359202 (faces).
%K A359662 easy,nonn
%O A359662 1,2
%A A359662 _Marco Ripà_, Jan 10 2023