login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062297 Number of distinct Abelian subgroups of the symmetric group S_n. 1
1, 2, 5, 21, 87, 612, 3649, 35515, 289927, 377118, 36947363, 657510251, 7736272845 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..13.

L. Naughton and G. Pfeiffer, Integer sequences realized by the subgroup pattern of the symmetric group, arXiv:1211.1911 and J. Int. Seq. 16 (2013) #13.5.8

PROG

(GAP 4.4)

LoadPackage("sonata");;

for n in [2, 3, 4, 5, 6, 7, 8, 9, 10] do

    p := SymmetricGroup(n) ;;

    o := Order(p);

    s := Subgroups(p);

    f := Filtered(s, g -> IsAbelian(g));

    a := Size(f);

    Print(a, " ") ;

od; # R. J. Mathar, May 24 2013

CROSSREFS

A005432, A051625.

Sequence in context: A242785 A228385 A152801 * A047104 A319850 A270597

Adjacent sequences:  A062294 A062295 A062296 * A062298 A062299 A062300

KEYWORD

nonn,more

AUTHOR

Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001

EXTENSIONS

a(9)-a(13) added by Liam Naughton

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 5 03:15 EDT 2020. Contains 333238 sequences. (Running on oeis4.)