%I #20 Sep 08 2022 08:44:39

%S 1,1111,1480963,1910490043,2477905585771,3210953026617931,

%T 4161484248724884235,5393264335151280477835,6989674736616919292088715,

%U 9058617560471271225871839115,11739968552378570066280405695371

%N Gaussian binomial coefficient [ n,4 ] for q = -6.

%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="/A015292/b015292.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 (1111, 246642, -8879112, -51834816, 60466176).

%t Table[QBinomial[n, 4, -6], {n, 4, 20}] (* _Vincenzo Librandi_, Oct 28 2012 *)

%o (Sage) [gaussian_binomial(n,4,-6) for n in range(4,15)] # _Zerinvary Lajos_, May 27 2009

%o (Magma) r:=4; q:=-6; [&*[(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