A218916 Number of missing subgroup orders of the alternating group, that is, i divides the order of the alternating group but the alternating group does not have a subgroup of order i.

0, 0, 0, 0, 1, 3, 9, 26, 46, 81, 151, 365, 540, 1214

Offset

0,6

Links

Table of n, a(n) for n=0..13.

L. Naughton and G. Pfeiffer, Integer sequences realized by the subgroup pattern of the symmetric group, arXiv:1211.1911

Liam Naughton, CountingSubgroups.g

Liam Naughton and Goetz Pfeiffer, Tomlib, The GAP table of marks library

Prog

(GAP) Size(Difference(DivisorsInt(Size(AlternatingGroup(n))), DuplicateFreeList(List(ConjugacyClassesSubgroups(AlternatingGroup(n)), x->Size(Representative(x))))));

Crossrefs

Cf. A218914.

Sequence in context: A235538 A370642 A358915 * A037260 A035313 A055293

Adjacent sequences: A218913 A218914 A218915 * A218917 A218918 A218919

Keyword

nonn,more

Author

Liam Naughton, Nov 09 2012

Status

approved