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A098885
Number of nonisomorphic p^m-groups (i.e., groups of prime power orders).
3
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, 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, 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
OFFSET
1,4
LINKS
Klaus Brockhaus, Table of n, a(n) for n = 1..340 [a(199) corrected by Andrey Zabolotskiy]
H. U. Besche, B. Eick and E. A. O'Brien, Number of isomorphism types of finite groups of given order [dead link]
FORMULA
a(n) = A000001(A000961(n)).
PROG
(Magma) D := SmallGroupDatabase(); [ NumberOfSmallGroups(D, n) : n in [1..410] | n eq 1 or IsPrimePower(n) ]; /* Klaus Brockhaus, Mar 15 2007 */
CROSSREFS
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Oct 14 2004
EXTENSIONS
More terms from Klaus Brockhaus, Mar 15 2007
STATUS
approved