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A059238
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Orders of the finite groups GL_2(K) when K is a finite field with q = p^m elements for a prime p and m >= 1.
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3
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6, 48, 180, 480, 2016, 3528, 5760, 13200, 26208, 61200, 78336, 123120, 267168, 374400, 511056, 682080, 892800, 1014816, 1822176, 2755200, 3337488, 4773696, 5644800, 7738848, 11908560, 13615200, 16511040, 19845936, 25048800, 28003968
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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FORMULA
| If the finite field K has p^m elements the order of the group GL_2(K) is (p^(2m)-1)*(p^(2m) - p^m) = (p^m+1)*(p^m)*(p^m-1)^2
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EXAMPLE
| a(4) = 480 because (5^2-1)*(5^2-5) = 480.
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MAPLE
| with(numtheory): for n from 2 to 400 do if nops(ifactors(n)[2]) = 1 then printf(`%d, `, (n+1)*(n)*(n-1)^2) fi: od:
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CROSSREFS
| Subset of A047927.
Sequence in context: A167547 A005353 A047927 * A026695 A052771 A056289
Adjacent sequences: A059235 A059236 A059237 * A059239 A059240 A059241
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KEYWORD
| nonn
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AUTHOR
| Avi Peretz (njk(AT)netvision.net.il), Jan 21 2001
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 22 2001
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