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A015383
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Gaussian binomial coefficient [ n,9 ] for q=-11.
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13
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1, -2161452050, 5139062461110267955, -12108543136400139930131294300, 28553261556033167915025118560778623715, -67326679110860591163925513616845073983121067050, 158752877164012182076561255078472431325233637546101158985
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OFFSET
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9,2
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REFERENCES
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J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969.
I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
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LINKS
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FORMULA
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a(n)=product_{i=1..9} ((-11)^(n-i+1)-1)/((-11)^i-1). - Vincenzo Librandi, Nov 04 2012
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MATHEMATICA
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PROG
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(Magma) r:=9; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 04 2012
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CROSSREFS
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Cf. Gaussian binomial coefficients [n, 9] for q = -2..-13: A015371, A015375, A015376, A015377, A015378, A015379, A015380, A015381, A015382, A015384, A015385. - Vincenzo Librandi, Nov 04 2012
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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