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Search: id:A015268
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| A015268 |
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Gaussian binomial coefficient [ n,3 ] for q=-3. |
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+0
1
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| 1, -20, 610, -15860, 433771, -11662040, 315323620, -8509702520, 229798289941, -6204226946060, 167517069529030, -4522934399547980, 122119467087816511, -3297223466672052080, 89025052902439936840, -2403676254645238280240
(list; graph; listen)
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OFFSET
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3,2
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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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PROGRAM
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(Other) sage: [gaussian_binomial(n, 3, -3) for n in xrange(3, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]
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CROSSREFS
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Sequence in context: A027407 A116218 A035279 this_sequence A059420 A129906 A125722
Adjacent sequences: A015265 A015266 A015267 this_sequence A015269 A015270 A015271
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KEYWORD
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sign,easy
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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