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A015315
Gaussian binomial coefficient [ n,5 ] for q = -9.
4
1, -53144, 3177326971, -187360965026144, 11065164158125239526, -653375813208979143531248, 38581260992855637306941215162, -2278184404047301621409794099651808
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
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 range(5, 13)] # Zerinvary Lajos, May 27 2009
CROSSREFS
Sequence in context: A250681 A031833 A155557 * A061330 A195656 A195651
KEYWORD
sign,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved