--- John Conway <conway@Math.Princeton.EDU> wrote:
While in New Zealand I met Eamonn O'Brien, who's one author of a paper that, among other things, tabulates the number of groups of each order up to 2000. This has led me to find quite q few interesting sequences, and given quite a lot of fun.
It's worth noting that all of this deals with Sequence #1, in the OEIS heirarchy. http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?An... I give a picture in my recent MAA column, Sequence Pictures. http://www.maa.org/editorial/mathgames/mathgames_12_08_03.html H.-U. Besche had the first 2000 terms in the Small Groups Library, which now seems to be broken. Here are the first 1000 terms. 1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51, 1, 2, 1, 14, 1, 2, 2, 14, 1, 6, 1, 4, 2, 2, 1, 52, 2, 5, 1, 5, 1, 15, 2, 13, 2, 2, 1, 13, 1, 2, 4, 267, 1, 4, 1, 5, 1, 4, 1, 50, 1, 2, 3, 4, 1, 6, 1, 52, 15, 2, 1, 15, 1, 2, 1, 12, 1, 10, 1, 4, 2, 2, 1, 231, 1, 5, 2, 16, 1, 4, 1, 14, 2, 2, 1, 45, 1, 6, 2, 43, 1, 6, 1, 5, 4, 2, 1, 47, 2, 2, 1, 4, 5, 16, 1, 2328, 2, 4, 1, 10, 1, 2, 5, 15, 1, 4, 1, 11, 1, 2, 1, 197, 1, 2, 6, 5, 1, 13, 1, 12, 2, 4, 2, 18, 1, 2, 1, 238, 1, 55, 1, 5, 2, 2, 1, 57, 2, 4, 5, 4, 1, 4, 2, 42, 1, 2, 1, 37, 1, 4, 2, 12, 1, 6, 1, 4, 13, 4, 1, 1543, 1, 2, 2, 12, 1, 10, 1, 52, 2, 2, 2, 12, 2, 2, 2, 51, 1, 12, 1, 5, 1, 2, 1, 177, 1, 2, 2, 15, 1, 6, 1, 197, 6, 2, 1, 15, 1, 4, 2, 14, 1, 16, 1, 4, 2, 4, 1, 208, 1, 5, 67, 5, 2, 4, 1, 12, 1, 15, 1, 46, 2, 2, 1, 56092, 1, 6, 1, 15, 2, 2, 1, 39, 1, 4, 1, 4, 1, 30, 1, 54, 5, 2, 4, 10, 1, 2, 4, 40, 1, 4, 1, 4, 2, 4, 1, 1045, 2, 4, 2, 5, 1, 23, 1, 14, 5, 2, 1, 49, 2, 2, 1, 42, 2, 10, 1, 9, 2, 6, 1, 61, 1, 2, 4, 4, 1, 4, 1, 1640, 1, 4, 1, 176, 2, 2, 2, 15, 1, 12, 1, 4, 5, 2, 1, 228, 1, 5, 1, 15, 1, 18, 5, 12, 1, 2, 1, 12, 1, 10, 14, 195, 1, 4, 2, 5, 2, 2, 1, 162, 2, 2, 3, 11, 1, 6, 1, 42, 2, 4, 1, 15, 1, 4, 7, 12, 1, 60, 1, 11, 2, 2, 1, 20169, 2, 2, 4, 5, 1, 12, 1, 44, 1, 2, 1, 30, 1, 2, 5, 221, 1, 6, 1, 5, 16, 6, 1, 46, 1, 6, 1, 4, 1, 10, 1, 235, 2, 4, 1, 41, 1, 2, 2, 14, 2, 4, 1, 4, 2, 4, 1, 775, 1, 4, 1, 5, 1, 6, 1, 51, 13, 4, 1, 18, 1, 2, 1, 1396, 1, 34, 1, 5, 2, 2, 1, 54, 1, 2, 5, 11, 1, 12, 1, 51, 4, 2, 1, 55, 1, 4, 2, 12, 1, 6, 2, 11, 2, 2, 1, 1213, 1, 2, 2, 12, 1, 261, 1, 14, 2, 10, 1, 12, 1, 4, 4, 42, 2, 4, 1, 56, 1, 2, 1, 202, 2, 6, 6, 4, 1, 8, 1, 10494213, 15, 2, 1, 15, 1, 4, 1, 49, 1, 10, 1, 4, 6, 2, 1, 170, 2, 4, 2, 9, 1, 4, 1, 12, 1, 2, 2, 119, 1, 2, 2, 246, 1, 24, 1, 5, 4, 16, 1, 39, 1, 2, 2, 4, 1, 16, 1, 180, 1, 2, 1, 10, 1, 2, 49, 12, 1, 12, 1, 11, 1, 4, 2, 8681, 1, 5, 2, 15, 1, 6, 1, 15, 4, 2, 1, 66, 1, 4, 1, 51, 1, 30, 1, 5, 2, 4, 1, 205, 1, 6, 4, 4, 7, 4, 1, 195, 3, 6, 1, 36, 1, 2, 2, 35, 1, 6, 1, 15, 5, 2, 1, 260, 15, 2, 2, 5, 1, 32, 1, 12, 2, 2, 1, 12, 2, 4, 2, 21541, 1, 4, 1, 9, 2, 4, 1, 757, 1, 10, 5, 4, 1, 6, 2, 53, 5, 4, 1, 40, 1, 2, 2, 12, 1, 18, 1, 4, 2, 4, 1, 1280, 1, 2, 17, 16, 1, 4, 1, 53, 1, 4, 1, 51, 1, 15, 2, 42, 2, 8, 1, 5, 4, 2, 1, 44, 1, 2, 1, 36, 1, 62, 1, 1387, 1, 2, 1, 10, 1, 6, 4, 15, 1, 12, 2, 4, 1, 2, 1, 840, 1, 5, 2, 5, 2, 13, 1, 40, 504, 4, 1, 18, 1, 2, 6, 195, 2, 10, 1, 15, 5, 4, 1, 54, 1, 2, 2, 11, 1, 39, 1, 42, 1, 4, 2, 189, 1, 2, 2, 39, 1, 6, 1, 4, 2, 2, 1, 1090235, 1, 12, 1, 5, 1, 16, 4, 15, 5, 2, 1, 53, 1, 4, 5, 172, 1, 4, 1, 5, 1, 4, 2, 137, 1, 2, 1, 4, 1, 24, 1 --Ed Pegg Jr