%I #25 Sep 08 2022 08:44:39
%S 1,2101,5149551,12328144851,29612203932102,71094673339606302,
%T 170699761008128301202,409849628721453245181802,
%U 984049129188697468764456303,2362701900656492615160524472603,5672847283550509352791825564114953,13620506320919298149305087013514770853
%N Gaussian binomial coefficient [ n,4 ] for q = -7.
%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="/A015293/b015293.txt">Table of n, a(n) for n = 4..300</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (2101, 735350, -36032150, -247180549, 282475249).
%t QBinomial[Range[4,17],4,-7] (* _Harvey P. Dale_, Sep 24 2011 *)
%t Table[QBinomial[n, 4, -7], {n, 4, 20}] (* _Vincenzo Librandi_, Oct 28 2012 *)
%o (Sage) [gaussian_binomial(n,4,-7) for n in range(4,14)] # _Zerinvary Lajos_, May 27 2009
%o (Magma) r:=4; q:=-7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Aug 02 2016
%K nonn,easy
%O 4,2
%A _Olivier Gérard_, Dec 11 1999
%E More terms from _Harvey P. Dale_, Sep 24 2011