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%I #22 Jul 17 2018 12:17:08
%S 1,1,1,1,7,31,121,806,5706,40902,345444,3627834,44916840,473882124,
%T 5607925896,73429902300,1169960275680,18289685306640,315392669158416,
%U 5046227338720884,98328156602878800,1862418125263338720,36536960773307025360,777453614193997039320
%N Total number of maximal cyclic subgroups of the alternating group, counting conjugates as distinct.
%H Andrew Howroyd, <a href="/A218963/b218963.txt">Table of n, a(n) for n = 0..50</a>
%H Liam Naughton and Goetz Pfeiffer, <a href="http://arxiv.org/abs/1211.1911">Integer sequences realized by the subgroup pattern of the symmetric group</a>, arXiv:1211.1911 [math.GR], 2012-2013.
%H Liam Naughton, <a href="http://www.maths.nuigalway.ie/~liam/CountingSubgroups.g">CountingSubgroups.g</a>
%H Liam Naughton and Goetz Pfeiffer, <a href="http://schmidt.nuigalway.ie/tomlib/">Tomlib, The GAP table of marks library</a>
%o (PARI) \\ See A218958 for PARI script file.
%o a(n)=MaximalCyclicSubgroupCount(n, v->sum(i=1, #v, v[i]-1)%2==0); \\ _Andrew Howroyd_, Jul 17 2018
%Y Cf. A051636, A218932, A218949, A218958.
%K nonn
%O 0,5
%A _Liam Naughton_, Nov 23 2012
%E a(3)-a(13) corrected by _Liam Naughton_, Jul 17 2018
%E Terms a(14) and beyond from _Andrew Howroyd_, Jul 17 2018
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