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A015315 Gaussian binomial coefficient [ n,5 ] for q = -9. 2
1, -53144, 3177326971, -187360965026144, 11065164158125239526, -653375813208979143531248, 38581260992855637306941215162, -2278184404047301621409794099651808 (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

Index entries for linear recurrences with constant coefficients, signature (-53144,353042235,256976057520,-20846790934515,-185301670206744,205891132094649).

FORMULA

G.f.: -x^5 / ( (x-1)*(81*x-1)*(9*x+1)*(729*x+1)*(6561*x-1)*(59049*x+1) ). - R. J. Mathar, Aug 04 2016

MATHEMATICA

Table[QBinomial[n, 5, -9], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

PROG

(Sage) [gaussian_binomial(n, 5, -9) for n in xrange(5, 13)] # Zerinvary Lajos, May 27 2009

CROSSREFS

Sequence in context: A250681 A031833 A155557 * A061330 A195656 A195651

Adjacent sequences:  A015312 A015313 A015314 * A015316 A015317 A015318

KEYWORD

sign,easy

AUTHOR

Olivier Gérard, Dec 11 1999

STATUS

approved

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Last modified March 26 10:18 EDT 2019. Contains 321491 sequences. (Running on oeis4.)