A218949 -id:A218949 - cp's OEIS frontend

A218958 Total number of maximal cyclic subgroups of the symmetric group, counting conjugates as distinct.

1, 1, 1, 4, 13, 31, 246, 1296, 10774, 83238, 788820, 6835170, 81364944, 848378532, 11423650616, 156289508025, 2380629720720, 33284133330760, 605934954285120, 9708364832948820, 190330953679235040, 3715069138923234960, 77101583995105472880, 1506549946554254503440

Offset: 0

Liam Naughton, Nov 23 2012

nonn

Andrew Howroyd, Table of n, a(n) for n = 0..50
Andrew Howroyd, PARI program for this sequence and A218963
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

Cf. A051625, A218932, A218949, A218963.

\\ See links for program script file.
a(n)=MaximalCyclicSubgroupCount(n, v->1); \\ Andrew Howroyd, Jul 17 2018

Terms a(14) and beyond from Andrew Howroyd, Jul 03 2018

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

Original entry on oeis.org

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

Liam Naughton, Nov 23 2012

nonn

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

Cf. A051636, A218932, A218949, A218958.

\\ 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

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

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

cp's OEIS Frontend

A218958 Total number of maximal cyclic subgroups of the symmetric group, counting conjugates as distinct.

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