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Search: id:A059238
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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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+0
4
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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; listen)
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OFFSET
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0,1
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FORMULA
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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
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a(4) = 480 because (5^2-1)*(5^2-5) = 480.
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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+1)*(n)*(n-1)^2) fi: od:
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CROSSREFS
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Subset of A047927.
Adjacent sequences: A059235 A059236 A059237 this_sequence A059239 A059240 A059241
Sequence in context: A052651 A005353 A047927 this_sequence A026695 A052771 A056289
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KEYWORD
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nonn
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AUTHOR
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Avi Peretz (njk(AT)netvision.net.il), Jan 21 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 22 2001
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