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A218958 Total number of maximal cyclic subgroups of the symmetric group, counting conjugates as distinct. 2
1, 1, 1, 4, 13, 31, 246, 1296, 10774, 83238, 788820, 6835170, 81364944, 848378532, 11423650616, 156289508025, 2380629720720, 33284133330760, 605934954285120, 9708364832948820, 190330953679235040, 3715069138923234960, 77101583995105472880, 1506549946554254503440 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
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 links for program script file.
a(n)=MaximalCyclicSubgroupCount(n, v->1); \\ Andrew Howroyd, Jul 17 2018
CROSSREFS
Sequence in context: A027998 A367010 A026567 * A226839 A270976 A272510
KEYWORD
nonn
AUTHOR
Liam Naughton, Nov 23 2012
EXTENSIONS
Terms a(14) and beyond from Andrew Howroyd, Jul 03 2018
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)