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%I #21 Sep 08 2022 08:44:39
%S 1,-4304672,20846476694116,-99571465386311288480,
%T 476319830905927777714449130,-2278184404047301621409794099651808,
%U 10896505884544222754038383150470776581556,-52117638957586712017437457380440909324731738208
%N Gaussian binomial coefficient [ n,7 ] for q = -9.
%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="/A015349/b015349.txt">Table of n, a(n) for n = 7..150</a>
%t QBinomial[Range[7,20],7,-9] (* _Harvey P. Dale_, Dec 28 2011 *)
%o (Sage) [gaussian_binomial(n,7,-9) for n in range(7,14)] # _Zerinvary Lajos_, May 27 2009
%o (Magma) r:=7; q:=-9; [&*[(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 One more term from _Harvey P. Dale_, Dec 28 2011
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