The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A098887 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A098887

Number of nonisomorphic groups with orders indexed by least prime signatures.
(history; published version)

#18 by Peter Luschny at Mon Jul 29 06:17:29 EDT 2024

STATUS

reviewed

approved

#17 by Joerg Arndt at Mon Jul 29 01:46:32 EDT 2024

STATUS

proposed

reviewed

#16 by Amiram Eldar at Mon Jul 29 01:41:19 EDT 2024

STATUS

editing

proposed

#15 by Amiram Eldar at Mon Jul 29 01:34:48 EDT 2024

LINKS

H. U. Besche, B. Eick and E. A. O'Brien, <a href="https://web.archive.org/web/20161030100727/http://www.icm.tu-bs.de/ag_algebra/software/small/number.html">Number of isomorphism types of finite groups of given order</a> [Wayback Machine link]

Discussion

Mon Jul 29

01:35

Amiram Eldar: a(51) = A000001(2048) that is currently unknown.

#14 by Amiram Eldar at Mon Jul 29 01:32:05 EDT 2024

LINKS

David Burrell, <a href="https://doi.org/10.1080/00927872.2021.2006680">On the number of groups of order 1024</a>, Communications in Algebra, 2021, 1Vol. 50, No. 6 (2022), pp. 2408-32410.

#13 by Amiram Eldar at Mon Jul 29 01:30:17 EDT 2024

FORMULA

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

CROSSREFS

Cf. A000001, A025487.

#12 by Amiram Eldar at Mon Jul 29 01:29:55 EDT 2024

DATA

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

EXTENSIONS

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

STATUS

approved

editing

#11 by Hugo Pfoertner at Tue Jun 07 08:14:34 EDT 2022

STATUS

reviewed

approved

#10 by Joerg Arndt at Tue Jun 07 08:10:39 EDT 2022

STATUS

proposed

reviewed

#9 by David Burrell at Tue Jun 07 07:16:21 EDT 2022

STATUS

editing

proposed

Discussion

Tue Jun 07

08:10

Joerg Arndt: thanks!