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%I #19 Dec 07 2019 12:18:18
%S 1,-147630,23974093353,-3858153003126520,621401842151984058606,
%T -100076766678577032638496300,16117472448301015835209097979510,
%U -2595734922068255016665440444288632600
%N Gaussian binomial coefficient [ n,5 ] for q = -11.
%D 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.
%D I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.
%D M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.
%H Vincenzo Librandi, <a href="/A015317/b015317.txt">Table of n, a(n) for n = 5..200</a>
%F 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
%t Table[QBinomial[n, 5, -11], {n, 5, 20}] (* _Vincenzo Librandi_, Oct 29 2012 *)
%o (Sage) [gaussian_binomial(n,5,-11) for n in range(5,13)] # _Zerinvary Lajos_, May 27 2009
%K sign,easy
%O 5,2
%A _Olivier Gérard_, Dec 11 1999
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