A218963 Total number of maximal cyclic subgroups of the alternating group, counting conjugates as distinct.

1, 1, 1, 1, 7, 31, 121, 806, 5706, 40902, 345444, 3627834, 44916840, 473882124, 5607925896, 73429902300, 1169960275680, 18289685306640, 315392669158416, 5046227338720884, 98328156602878800, 1862418125263338720, 36536960773307025360, 777453614193997039320

Offset

0,5

Links

Andrew Howroyd, Table of n, a(n) for n = 0..50

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, CountingSubgroups.g

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

Prog

(PARI) \\ See A218958 for PARI script file.
a(n)=MaximalCyclicSubgroupCount(n, v->sum(i=1, #v, v[i]-1)%2==0); \\ Andrew Howroyd, Jul 17 2018

Crossrefs

Cf. A051636, A218932, A218949, A218958.

Sequence in context: A147597 A048775 A181951 * A125193 A002184 A002588

Adjacent sequences: A218960 A218961 A218962 * A218964 A218965 A218966

Keyword

nonn

Author

Liam Naughton, Nov 23 2012

Extensions

a(3)-a(13) corrected by Liam Naughton, Jul 17 2018

Terms a(14) and beyond from Andrew Howroyd, Jul 17 2018

Status

approved