A098885 Number of nonisomorphic p^m-groups (i.e., groups of prime power orders).

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

Cf. A000001, A000961, A098886, A128604.

Sequence in context: A343234 A174004 A128604 * A106270 A319171 A047888

Adjacent sequences: A098882 A098883 A098884 * A098886 A098887 A098888

Keyword

nonn

Author

Lekraj Beedassy, Oct 14 2004

Extensions

More terms from Klaus Brockhaus, Mar 15 2007

Status

approved