The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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
KEYWORD
nonn,more
AUTHOR
Liam Naughton, Nov 23 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 13:22 EDT 2024. Contains 372755 sequences. (Running on oeis4.)