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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.

+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 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`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.`
	MAPLE	with(numtheory): for n from 2 to 400 do if nops(ifactors(n)[2]) = 1 then printf(`%d, `, n^2-1) fi: od:
	CROSSREFS	`A005563, A059238. A diagonal of A060638.` `Sequence in context: A147998 A164003 A067998 this_sequence A022451 A080181 A071399` `Adjacent sequences: A060612 A060613 A060614 this_sequence A060616 A060617 A060618`
	KEYWORD	`nonn`
	AUTHOR	`Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 13 2001`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 14 2001`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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