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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. 3
0, 1, 0, 1, 3, 4, 12, 15, 87, 61, 143, 168, 1254, 1079, 5281, 7619, 56670, 58957 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,5
LINKS
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
KEYWORD
nonn,hard
AUTHOR
Christian G. Bower, Feb 23 2006
EXTENSIONS
a(14)-a(17) from Vaclav Kotesovec, Jul 21 2022
STATUS
approved

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Last modified March 29 11:14 EDT 2024. Contains 371278 sequences. (Running on oeis4.)