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A022238
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Gaussian binomial coefficients [ n,9 ] for q = 7.
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1
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1, 47079208, 1939395353553757, 78490432990886231801200, 3168691824510592423395247884703, 127875753071992714335358328311551866824, 5160291746051272234978893428859106387360586971, 208236637980093164825596972398144064919402131047044800
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OFFSET
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9,2
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REFERENCES
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F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 698.
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LINKS
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FORMULA
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G.f.: x^9/((1-x)*(1-7*x)*(1-49*x)*(1-343*x)*(1-2401*x)*(1-16807*x)*(1-117649*x)*(1-823543*x)*(1-5764801*x)*(1-40353607*x)). - Vincenzo Librandi, Aug 12 2016
a(n) = Product_{i=1..9} (7^(n-i+1)-1)/(7^i-1), by definition. - Vincenzo Librandi, Aug 12 2016
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MATHEMATICA
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PROG
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(Sage) [gaussian_binomial(n, 9, 7) for n in range(9, 17)] # Zerinvary Lajos, May 25 2009
(Magma) r:=9; q:=7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Aug 12 2016
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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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