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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Klaus Brockhaus, Table of n, a(n) for n=1..340

H. U. Besche, B. Eick and E. A. O'Brien, Number of isomorphism types of finite groups of given order

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: A162470 A174004 A128604 * A106270 A047888 A128704

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

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Last modified November 27 23:10 EST 2014. Contains 250286 sequences.