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%I #11 Jan 26 2021 14:30:42
%S 1,2,3,5,6,8,9,14,16,18,19,23,24,26,27,41,42,47,48,53,55,57,58,70,72,
%T 74,79,83,84,88,89,140,141,143,144,155,156,158,160,174,175,181,182,
%U 186,188,190,191,233,235,240,241,246,247,262,264,276,278,280,281,292,293,295,299,566,567,571,572,577,578,582,583,620,621,623,625,629,630,636,637,688
%N Partial sums of number of supersolvable groups of order n (A066083).
%C Number of supersolvable groups of order <= n. Diverges from A063756 after n=11. The subsequence of primes in this sequence begins: 2, 3, 5, 19, 23, 41, 47, 53, 79, 83, 89, 181, 191, 233, 241, 281, 293, 571, 577. The subsequence of perfect powers in this sequence begins: 1, 8, 9, 16, 27, 144, 625.
%F a(n) = Sum_{i=1..n} A066083 = Sum_{i=1..n} number of finite groups of order i for which the index of any maximal subgroup is prime.
%o (PARI) s=0; apply(x->s+=x,A066083) /* A066083 being defined as a vector */ \\ _M. F. Hasler_, Nov 25 2010
%Y Cf. A000001, A063756, A066085, A066083.
%K nonn
%O 1,2
%A _Jonathan Vos Post_, Nov 24 2010
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