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 A359367 #22 Apr 30 2025 16:20:56 %S A359367 1,1,7,9,35,48,135 %N A359367 a(n) = number of regular polytopes of rank m-n with group S_m, up to isomorphism and duality (this is independent of m if m >= 2n+3). %C A359367 Also known as string C-groups for S_m. %H A359367 Peter J. Cameron, Maria Elisa Fernandes and Dimitri Leemans, <a href="https://arxiv.org/abs/2212.12723">The number of string C-groups of high rank</a>, arXiv:2212.12723 [math.GR], 2022. %H A359367 Dimitri Leemans and Jessica Mulpas, <a href="https://arxiv.org/abs/2504.17535">Two gluing methods for string C-group representations of the symmetric groups</a>, arXiv:2504.17535 [math.CO], 2025. See p. 14. %e A359367 a(1)=1 since the only regular polytope of rank m-1 with group S_m is the simplex. %K A359367 nonn,hard,more %O A359367 1,3 %A A359367 _Peter J. Cameron_, Dec 28 2022 %E A359367 a(7) from _Peter J. Cameron_, Jan 19 2023