A098887 - OEIS

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A098887

Number of nonisomorphic groups with orders indexed by least prime signatures.

0

1, 1, 2, 2, 5, 5, 14, 15, 4, 51, 14, 52, 13, 267, 50, 231, 47, 2328, 197, 37, 1543, 12, 177, 208, 56092, 1045, 162, 20169, 41, 775, 1213, 10494213, 8681, 840, 1090235, 186, 4725, 150, 11394, 49487367289, 583, 157877, 131, 3609, 5958, 408641062, 1005, 47937, 749, 241004

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..50.

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

David Burrell, On the number of groups of order 1024, Communications in Algebra, Vol. 50, No. 6 (2022), pp. 2408-2410.

FORMULA

a(n) = A000001(A025487(n)).

CROSSREFS

Cf. A000001, A025487.

Sequence in context: A208355 A099363 A106181 * A259097 A245845 A097438

Adjacent sequences: A098884 A098885 A098886 * A098888 A098889 A098890

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Oct 14 2004

EXTENSIONS

a(40) corrected by David Burrell, Jun 07 2022

a(48)-a(50) from Amiram Eldar, Jul 29 2024

STATUS

approved