A116652 Number of connected subgroups of the alternating group A_n.

0, 1, 0, 1, 5, 23, 257, 1048, 27219, 137537, 2725441, 22377824, 1221555748, 7846888669, 406966068706, 5178802915485, 417065722270965, 3785224363874273

Offset

0,5

Comments

A permutation group is connected if it is not the direct product of smaller permutation groups.

Links

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

N. J. A. Sloane, Transforms

Formula

Logarithmic transform of A029725.

Crossrefs

Labeled version of A116653.

Sequence in context: A323993 A156555 A361403 * A361362 A197936 A198029

Adjacent sequences: A116649 A116650 A116651 * A116653 A116654 A116655

Keyword

nonn,hard

Author

Christian G. Bower, Feb 23 2006

Extensions

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

Status

approved