A098887 Number of nonisomorphic groups with orders indexed by least prime signatures.

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

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