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%I #21 Sep 08 2022 08:44:39
%S 1,-33075515,1193443303932565,-42738498397393357626155,
%T 1531471524472711661173885667797,
%U -54875173091354091477849994502919434795,1966277324678482270775562667263264108238642645,-70455269606355713779351701809782497716434153197609515
%N Gaussian binomial coefficient [ n,7 ] 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="/A015354/b015354.txt">Table of n, a(n) for n = 7..140</a>
%t QBinomial[Range[7,20],7,-12] (* _Harvey P. Dale_, Mar 17 2012 *)
%o (Sage) [gaussian_binomial(n,7,-12) for n in range(7,13)] # _Zerinvary Lajos_, May 27 2009
%o (Magma) r:=7; q:=-12; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..15]]; // _Vincenzo Librandi_, Nov 02 2012
%K sign,easy
%O 7,2
%A _Olivier Gérard_, Dec 11 1999
%E More terms from _Harvey P. Dale_, Mar 17 2012