A249553 Numbers m such that there are precisely 10 groups of order m.

90, 132, 198, 276, 306, 350, 414, 490, 522, 564, 650, 708, 738, 846, 850, 852, 950, 954, 996, 1062, 1078, 1150, 1274, 1278, 1284, 1450, 1485, 1494, 1572, 1602, 1666, 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

Offset

1,1

Links

Muniru A Asiru, Table of n, a(n) for n = 1..799

Index entries for sequences related to groups

Mathematica

Select[ Range@2047, FiniteGroupCount@# == 10 &] (* Robert G. Wilson v, Nov 30 2017 *)

Prog

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

Crossrefs

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).

Sequence in context: A103653 A332642 A352231 * A125010 A241004 A294310

Adjacent sequences: A249550 A249551 A249552 * A249554 A249555 A249556

Keyword

nonn

Author

N. J. A. Sloane, Nov 01 2014

Extensions

More terms from Michael De Vlieger, Oct 16 2017

More terms from Muniru A Asiru, Oct 24 2017

Status

approved