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%I #22 May 23 2020 10:37:26
%S 6,12,60,168,360,504,660,1092,2448,3420,4080,5616,6072,7800,9828,
%T 12180,14880,20160,25308,32736,34440,39732,51888,58800,74412,102660,
%U 113460,150348,178920,194472,246480,262080,265680,285852,352440,372000,456288,515100,546312
%N Orders of the groups PSL(m,q) in increasing order as q runs through the prime powers (without repetitions).
%C 60 is the order of PSL(2,4) or PSL(2,5).
%C 168 is the order of PSL(2,7) or PSL(3,2).
%C 20160 is the order of PSL(4,2) or PSL(3,4).
%C See A334884 and A335000 for variations of this sequence.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Projective_linear_group">Projective linear group</a>
%H <a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Gre#groups">Index entries for sequences related to groups</a>.
%F #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 #PSL(2,7) = (7^2-1)*7/gcd(2,6) = 168 = a(4), and,
%e #PSL(3,2) = (2^3-1)*(2^3-2)*2^2/gcd(3,1) = 168 = a(4).
%Y Cf. A117762 (PSL(2, prime(n)).
%Y Cf. A334884 and A335000 (both with repetitions, but different).
%K nonn
%O 1,1
%A _Michel Marcus_, May 19 2020
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