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Sum of Gaussian binomial coefficients for q=12.
1

%I #15 May 14 2019 09:38:42

%S 1,2,15,316,26537,6605334,6616438915,19736647911152,

%T 237118435525391709,8486871559326397146058,

%U 1223496018226895154470801975,525487164444668938421129856286884,909068834019126312744002601418684280593

%N Sum of Gaussian binomial coefficients 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="/A015200/b015200.txt">Table of n, a(n) for n = 0..60</a>

%H Kent E. Morrison, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL9/Morrison/morrison37.html">Integer Sequences and Matrices Over Finite Fields</a>, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

%t Total/@Table[QBinomial[n, m, 12], {n, 0, 20}, {m, 0, n}] (* _Vincenzo Librandi_, Nov 02 2012 *)

%Y Row sums of triangle A022176.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, _Olivier GĂ©rard_