A218964 Total number of maximal nilpotent subgroups of the alternating group, counting conjugates as distinct.

1, 1, 1, 1, 5, 21, 91, 666, 3851, 30955, 144691, 1748836, 27197611, 313477451

Offset

0,5

Links

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

Liam Naughton and Goetz Pfeiffer, Integer Sequences Realized by the Subgroup Pattern of the Symmetric Group, arXiv:1211.1911 [math.GR], 2012.

Liam Naughton, CountingSubgroups.g

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

Kimeu Arphaxad Ngwava, Fredrick Oluoch Nyamwala, Nick Gill, and Ian Short, Nilpotent Covers of Small Symmetric and Alternating Groups, J. Math. Stat. Studies (2025) Vol. 6, No. 2, 20-24.

Crossrefs

Sequence in context: A218961 A168444 A125784 * A373958 A154964 A007287

Adjacent sequences: A218961 A218962 A218963 * A218965 A218966 A218967

Keyword

nonn,more

Author

Liam Naughton, Nov 23 2012

Extensions

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

Status

approved