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A015268 Gaussian binomial coefficient [ n,3 ] for q=-3. 0
1, -20, 610, -15860, 433771, -11662040, 315323620, -8509702520, 229798289941, -6204226946060, 167517069529030, -4522934399547980, 122119467087816511, -3297223466672052080, 89025052902439936840, -2403676254645238280240 (list; graph; refs; listen; history; internal format)
OFFSET

3,2

REFERENCES

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.

PROG

(Other) sage: [gaussian_binomial(n, 3, -3) for n in xrange(3, 19)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 27 2009]

CROSSREFS

Sequence in context: A027407 A116218 A035279 * A202577 A059420 A129906

Adjacent sequences:  A015265 A015266 A015267 * A015269 A015270 A015271

KEYWORD

sign,easy

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.