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Gaussian binomial coefficient [ n,6 ] for q = -12.
2

%I #17 Dec 07 2019 12:18:18

%S 1,2756293,8287800951445,24732928003956401365,

%T 73855689005170238163929557,220531019414004693731359534452181,

%U 658502316004926805411433599481195683285

%N Gaussian binomial coefficient [ n,6 ] for q = -12.

%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="/A015336/b015336.txt">Table of n, a(n) for n = 6..100</a>

%t Table[QBinomial[n, 6, -12], {n, 6, 10}] (* _Vincenzo Librandi_, Oct 29 2012 *)

%o (Sage) [gaussian_binomial(n,6,-12) for n in range(6,13)] # _Zerinvary Lajos_, May 27 2009

%K nonn,easy

%O 6,2

%A _Olivier GĂ©rard_, Dec 11 1999