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A015317 Gaussian binomial coefficient [ n,5 ] for q = -11. 2
1, -147630, 23974093353, -3858153003126520, 621401842151984058606, -100076766678577032638496300, 16117472448301015835209097979510, -2595734922068255016665440444288632600 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

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.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 5..200

FORMULA

G.f.: x^5/((1 - x)*(1 + 11*x)*(1 - 121*x)*(1 + 1331*x)*(1 - 14641*x)*(1 + 161051*x)). - Ilya Gutkovskiy, Aug 16 2016

MATHEMATICA

Table[QBinomial[n, 5, -11], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

PROG

(Sage) [gaussian_binomial(n, 5, -11) for n in xrange(5, 13)] # Zerinvary Lajos, May 27 2009

CROSSREFS

Sequence in context: A111044 A189789 A204105 * A195363 A224424 A065323

Adjacent sequences:  A015314 A015315 A015316 * A015318 A015319 A015320

KEYWORD

sign,easy

AUTHOR

Olivier Gérard, Dec 11 1999

STATUS

approved

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Last modified March 22 10:07 EDT 2019. Contains 321421 sequences. (Running on oeis4.)