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A062297
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Number of distinct Abelian subgroups of the symmetric group S_n.
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1
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1, 2, 5, 21, 87, 612, 3649, 35515, 289927, 377118, 36947363, 657510251, 7736272845
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OFFSET
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1,2
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LINKS
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PROG
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(GAP)
# 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, " ") ;
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001
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EXTENSIONS
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a(9)-a(13) added by Liam Naughton
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STATUS
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approved
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