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A218966 Number of conjugacy classes of subgroups of the symmetric which are also subgroups of the alternating group. 1
1, 1, 1, 2, 5, 9, 22, 37, 112, 195, 423, 780, 2401, 4409 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..13.

Liam Naughton, CountingSubgroups.g

Liam Naughton and Goetz Pfeiffer, Integer sequences realized by the subgroup pattern of the symmetric group, arXiv:1211.1911 [math.GR], 2012-2013.

Liam Naughton and Goetz Pfeiffer, Tomlib, The GAP table of marks library

PROG

(GAP 4.11.1)

n := 9;;

GS := List( [1..n], m-> SymmetricGroup(m));;

subS := List( GS, x-> ConjugacyClassesSubgroups(x));;

repS := List( subS, x-> List(x, Representative));;

GA := List( [1..n], m-> AlternatingGroup(m));;

List( [1..n], m-> Number( repS[m], x-> IsSubgroup( GA[m], x)));

# Peter Dolland, Jul 15 2021

CROSSREFS

Sequence in context: A303963 A304349 A024822 * A029726 A052962 A173565

Adjacent sequences:  A218963 A218964 A218965 * A218967 A218968 A218969

KEYWORD

nonn,more

AUTHOR

Liam Naughton, Nov 23 2012

STATUS

approved

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Last modified January 20 03:25 EST 2022. Contains 350467 sequences. (Running on oeis4.)