This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A334994 #25 Dec 21 2024 02:13:32
%S A334994 6,12,60,168,360,504,660,1092,2448,3420,4080,5616,6072,7800,9828,
%T A334994 12180,14880,20160,25308,32736,34440,39732,51888,58800,74412,102660,
%U A334994 113460,150348,178920,194472,246480,262080,265680,285852,352440,372000,456288,515100,546312
%N A334994 Orders of the groups PSL(m,q) in increasing order as q runs through the prime powers (without repetitions).
%C A334994 60 is the order of PSL(2,4) or PSL(2,5).
%C A334994 168 is the order of PSL(2,7) or PSL(3,2).
%C A334994 20160 is the order of PSL(4,2) or PSL(3,4).
%C A334994 See A334884 and A335000 for variations of this sequence.
%H A334994 Wikipedia, <a href="https://en.wikipedia.org/wiki/Projective_linear_group">Projective linear group</a>
%H A334994 <a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Gre#groups">Index entries for sequences related to groups</a>.
%F A334994 #PSL(m,q) = (Product_{j=0..m-2} (q^m - q^j)) * q^(m-1) / gcd(m,q-1). - _Bernard Schott_, May 19 2020
%e A334994 #PSL(2,7) = (7^2-1)*7/gcd(2,6) = 168 = a(4), and,
%e A334994 #PSL(3,2) = (2^3-1)*(2^3-2)*2^2/gcd(3,1) = 168 = a(4).
%Y A334994 Cf. A117762 (PSL(2, prime(n))).
%Y A334994 Cf. A334884 and A335000 (both with repetitions, but different).
%K A334994 nonn
%O A334994 1,1
%A A334994 _Michel Marcus_, May 19 2020