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A015211 Sum of Gaussian binomial coefficients for q=20. 2

%I #19 May 14 2019 12:24:02

%S 1,2,23,844,185665,135410486,594398635307,8667459765860128,

%T 760847587518093084949,221888491692526853220309770,

%U 389554408585486196960076347534591,2272138934040070259456673438099474759412

%N Sum of Gaussian binomial coefficients for q=20.

%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="/A015211/b015211.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)*((20^(n-1)) - 1). - _Vincenzo Librandi_, Nov 02 2012

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

%Y Row sums of triangle A022184.

%K nonn

%O 0,2

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

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)