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%I #19 Mar 21 2024 14:25:12
%S 1,1,1,2,1,1,5,2,1,1,14,1,1,1,2,5,1,1,51,1,1,1,1,2,1,1,1,267,1,1,1,1,
%T 15,1,1,1,1,1,1,1,1,2,5,1,2328,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
%U 1,1,1,1,67,1,56092,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,5,1,1,1,1,2,1,1,1,1,1,1,1,1
%N Number of nonisomorphic p^m-groups (i.e., groups of prime power orders).
%H Klaus Brockhaus, <a href="/A098885/b098885.txt">Table of n, a(n) for n = 1..340</a> [a(199) corrected by Andrey Zabolotskiy]
%H H. U. Besche, B. Eick and E. A. O'Brien, <a href="http://www.icm.tu-bs.de/ag_algebra/software/small/number.html">Number of isomorphism types of finite groups of given order</a> [dead link]
%F a(n) = A000001(A000961(n)).
%o (Magma) D := SmallGroupDatabase(); [ NumberOfSmallGroups(D, n) : n in [1..410] | n eq 1 or IsPrimePower(n) ]; /* _Klaus Brockhaus_, Mar 15 2007 */
%Y Cf. A000001, A000961, A098886, A128604.
%K nonn
%O 1,4
%A _Lekraj Beedassy_, Oct 14 2004
%E More terms from _Klaus Brockhaus_, Mar 15 2007
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