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A015345
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Gaussian binomial coefficient [ n,7 ] for q=-6.
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2
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1, -239945, 69088371619, -19251196169490725, 5393264335151280477835, -1509574711680960125598763925, 422593364163884169440003098013995, -118298673397216914972187267242547690325, 33116077152651051199781730118147946460139435
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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7,2
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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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Vincenzo Librandi, Table of n, a(n) for n = 7..190
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MATHEMATICA
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Table[QBinomial[n, 7, -6], {n, 7, 20}] (* Vincenzo Librandi, Nov 02 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 7, -6) for n in xrange(7, 15)] # [From Zerinvary Lajos, May 27 2009]
(MAGMA) r:=7; q:=-6; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..15]]; // Vincenzo Librandi, Nov 02 2012
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CROSSREFS
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Sequence in context: A237396 A234547 A234709 * A187960 A190388 A249194
Adjacent sequences: A015342 A015343 A015344 * A015346 A015347 A015348
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KEYWORD
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sign,easy
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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