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A053293
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Number of nonsingular n X n matrices over GF(7).
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14
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1, 6, 2016, 33784128, 27811094169600, 1122211189922928537600, 2218959336124989671614429593600, 214992513152176999576908105619651923148800, 1020690003311610463765638355505358381593396977336320000, 237443634207909205360438080389756681126654524500073656592021585920000
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (7^n - 1)*(7^n - 7)*...*(7^n - 7^(n-1)).
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MATHEMATICA
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Table[Product[7^n - 7^k, {k, 0, n-1}], {n, 0, 10}] (* Vincenzo Librandi, Jan 28 2013 *)
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PROG
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(Magma) [1] cat [&*[(7^n - 7^k): k in [0..n-1]]: n in [1..7]]; // Bruno Berselli, Jan 28 2013
(PARI) for(n=0, 10, print1(prod(k=0, n-1, 7^n - 7^k), ", ")) \\ G. C. Greubel, May 31 2018
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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