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A218915
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Number of missing subgroup orders of the symmetric group, that is, i divides Factorial(n) but the symmetric group on n points does not have a subgroup of order i.
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0
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0, 0, 0, 0, 0, 3, 9, 29, 47, 86, 157, 401, 576, 1316
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,6
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LINKS
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FORMULA
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MATHEMATICA
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A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {_, _}][[All, 2]]];
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PROG
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(GAP) Size(Difference(DivisorsInt(Factorial(n)), DuplicateFreeList(List(ConjugacyClassesSubgroups(SymmetricGroup(n)), x->Size(Representative(x))))));
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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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STATUS
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approved
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