A116653 Number of connected even permutation groups; conjugacy classes of connected subgroups of the alternating group A_n; atomic species based on even permutation groups.

0, 1, 0, 1, 3, 4, 12, 15, 87, 61, 143, 168, 1254, 1079, 5281, 7619, 56670, 58957

Offset

0,5

Links

Table of n, a(n) for n=0..17.

L. Naughton, G. Pfeiffer, Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group, J. Int. Seq. 16 (2013) #13.5.8

N. J. A. Sloane, Transforms

Formula

Inverse Euler transform of A029726. Define b(n), c(n): b(1)=c(0)=0. b(k)=A116654(k), k>1. c(k)=A029726(k), k>0. a(n) is Dirichlet convolution of b and c.

Crossrefs

Unlabeled version of A116652.

Sequence in context: A124637 A352907 A047173 * A218967 A122757 A280650

Adjacent sequences: A116650 A116651 A116652 * A116654 A116655 A116656

Keyword

nonn,hard

Author

Christian G. Bower, Feb 23 2006

Extensions

a(14)-a(17) from Vaclav Kotesovec, Jul 21 2022

Status

approved