A249553 - OEIS

%I #30 May 13 2023 23:50:43

%S 90,132,198,276,306,350,414,490,522,564,650,708,738,846,850,852,950,

%T 954,996,1062,1078,1150,1274,1278,1284,1450,1485,1494,1572,1602,1666,

%U 1690,1694,1818,1850,1862,1926,2004,2034,2148,2150,2254,2292,2325,2350,2358,2466,2475,2650,2682,2724,2868,2890,2950,3006,3012,3038,3114,3146,3156

%N Numbers m such that there are precisely 10 groups of order m.

%H Muniru A Asiru, <a href="/A249553/b249553.txt">Table of n, a(n) for n = 1..799</a>

%H <a href="/index/Gre#groups">Index entries for sequences related to groups</a>

%t Select[ Range@2047, FiniteGroupCount@# == 10 &] (* _Robert G. Wilson v_, Nov 30 2017 *)

%o (GAP) A249553 := Filtered([1..2015], n -> NumberSmallGroups(n) = 10); # _Muniru A Asiru_, Oct 16 2017

%Y Cf. A000001. Cyclic numbers A003277. Numbers m such that there are precisely k groups of order m: A054395 (k=2), A055561 (k=3), A054396 (k=4), A054397 (k=5), A135850 (k=6), A249550 (k=7), A249551 (k=8), A249552 (k=9), this sequence (k=10), A249554 (k=11), A249555 (k=12), A292896 (k=13), A294155 (k=14), A294156 (k=15), A295161 (k=16), A294949 (k=17), A298909 (k=18), A298910 (k=19), A298911 (k=20).

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Nov 01 2014

%E More terms from _Michael De Vlieger_, Oct 16 2017

%E More terms from _Muniru A Asiru_, Oct 24 2017