A246137 Number of maximal classes determined by elementary Abelian p-groups.

0, 1, 1, 1, 6, 0, 120, 30, 840, 0, 362880, 0, 39916800, 0, 0, 64864800, 1307674368000, 0, 355687428096000, 0, 0, 0, 51090942171709440000, 0, 1292600836944248832000, 0, 35905578804006912000000, 0

Offset

1,5

Comments

Corresponds to r_3(k) in the Rosenberg paper.

Links

Table of n, a(n) for n=1..28.

Rosenberg, Ivo; The number of maximal closed classes in the set of functions over a finite domain, J. Combinatorial Theory Ser. A 14 (1973), 1-7.

Formula

a(p^m) = (p^m-1)! / (p^binomial(m, 2) * (p-1) * (p^2-1) * ... * (p^m-1)). In all other cases a(n) = 0.

Crossrefs

Cf. A002826.

Sequence in context: A187696 A005212 A167028 * A052679 A392891 A392887

Adjacent sequences: A246134 A246135 A246136 * A246138 A246139 A246140

Keyword

nonn

Author

Sean A. Irvine, Aug 25 2014

Status

approved