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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. GAP, GAP package TomLib, The GAP Library of Tables of Marks. 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) # 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 May 22 13:22 EDT 2024. Contains 372755 sequences. (Running on oeis4.)