Search: id:A060615
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%I A060615
%S A060615 3,8,15,24,48,63,80,120,168,255,288,360,528,624,728,840,960,1023,1368,
%T A060615 1680,1848,2208,2400,2808,3480,3720,4095,4488,5040,5328,6240,6560,6888,
%U A060615 7920,9408,10200,10608,11448,11880,12768,14640,15624,16128,16383,17160
%N A060615 Number of conjugacy classes in the group GL_2(K) when K is a finite field 
               with q = p^m for a prime p and m >= 1.
%C A060615 The number of conjugacy classes in the group GL_2(K) is q^2 - 1 so this 
               sequence is a subsequence of A005563 restricted to q = prime power. 
               The order of the group GL_2(K) is in A059238.
%p A060615 with(numtheory): for n from 2 to 400 do if nops(ifactors(n)[2]) = 1 then 
               printf(`%d,`, n^2-1) fi: od:
%Y A060615 A005563, A059238. A diagonal of A060638.
%Y A060615 Sequence in context: A147998 A164003 A067998 this_sequence A022451 A080181 
               A071399
%Y A060615 Adjacent sequences: A060612 A060613 A060614 this_sequence A060616 A060617 
               A060618
%K A060615 nonn
%O A060615 0,1
%A A060615 Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 13 2001
%E A060615 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 14 2001

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