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A249552 Numbers m such that there are precisely 9 groups of order m. 21

%I #55 May 13 2023 23:50:39

%S 308,532,644,836,868,1316,1364,1652,1748,1815,1876,1892,2068,2212,

%T 2324,2356,2596,2852,2884,2996,3124,3268,3476,3572,3652,3668,3892,

%U 3956,4228,4263,4484,4532,4564,4676,4708,5012,5092,5332,5348,5396,5428,5572,5588,5764,5828,6004,6116,6164,6244,6308,6356,6532

%N Numbers m such that there are precisely 9 groups of order m.

%H Muniru A Asiru and Jorge R. F. F. Lopes, <a href="/A249552/b249552.txt">Table of n, a(n) for n = 1..456</a>

%H Max Horn, <a href="https://groups.quendi.de/">Numbers of isomorphism types of finite groups of given order</a>

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

%p select(t -> GroupTheory:-NumAbelianGroups(t) <= 9 and GroupTheory:-NumGroups(t) = 9, [$1..10000]); # _Robert Israel_, Mar 26 2018

%o (GAP) A249552:=Filtered([1..2015],n->NumberSmallGroups(n)=9); # _Muniru A Asiru_, Nov 17 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), this sequence (k=9), A249553 (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 a(13)-a(16) from _Muniru A Asiru_, Oct 21 2017

%E More terms from _Muniru A Asiru_, Oct 23 2017

%E More terms from _Muniru A Asiru_, Nov 17 2017

%E Incorrect b-file shortened by _Jorge R. F. F. Lopes_, Jan 07 2022

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)