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).

1, 1, 7, 9, 35, 48, 135

Offset

1,3

Comments

Also known as string C-groups for S_m.

Links

Table of n, a(n) for n=1..7.

Peter J. Cameron, Maria Elisa Fernandes and Dimitri Leemans, The number of string C-groups of high rank, arXiv:2212.12723 [math.GR], 2022.

Example

a(1)=1 since the only regular polytope of rank m-1 with group S_m is the simplex.

Crossrefs

Sequence in context: A177030 A189974 A316184 * A321760 A083203 A082536

Adjacent sequences: A359364 A359365 A359366 * A359368 A359369 A359370

Keyword

nonn,hard,more

Author

Peter J. Cameron, Dec 28 2022

Extensions

a(7) from Peter J. Cameron, Jan 19 2023

Status

approved