A116653 - OEIS

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

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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