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A060615
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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.
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0
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3, 8, 15, 24, 48, 63, 80, 120, 168, 255, 288, 360, 528, 624, 728, 840, 960, 1023, 1368, 1680, 1848, 2208, 2400, 2808, 3480, 3720, 4095, 4488, 5040, 5328, 6240, 6560, 6888, 7920, 9408, 10200, 10608, 11448, 11880, 12768, 14640, 15624, 16128, 16383, 17160
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OFFSET
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0,1
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COMMENTS
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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.
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LINKS
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FORMULA
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MAPLE
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with(numtheory): for n from 2 to 400 do if nops(ifactors(n)[2]) = 1 then printf(`%d, `, n^2-1) fi: od:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 13 2001
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EXTENSIONS
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STATUS
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approved
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