A015203 - OEIS

%I #19 May 14 2019 11:10:22

%S 1,2,18,484,61700,24625416,46902626632,280592659752848,

%T 8014314610618754064,719144325473017534005280,

%U 308098615000966585021543006496,414695472396278556489315958364507712,2664978629760569684020787743089224873508928

%N Sum of Gaussian binomial coefficients for q=15.

%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="/A015203/b015203.txt">Table of n, a(n) for n = 0..50</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.

%F a(0) = 1, a(1) = 2, a(n) = 2*a(n-1) + a(n-2)*((15^(n-1)) - 1). - _Vincenzo Librandi_, Nov 02 2012

%t Total/@Table[QBinomial[n, m, 15], {n, 0, 20}, {m, 0, n}] (* _Vincenzo Librandi_, Nov 02 2012 *)

%Y Row sums of triangle A022179.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, _Olivier Gérard_