A015203 Sum of Gaussian binomial coefficients for q=15.

1, 2, 18, 484, 61700, 24625416, 46902626632, 280592659752848, 8014314610618754064, 719144325473017534005280, 308098615000966585021543006496, 414695472396278556489315958364507712, 2664978629760569684020787743089224873508928

Offset

0,2

References

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.

I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.

M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..50

Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

Formula

a(0) = 1, a(1) = 2, a(n) = 2*a(n-1) + a(n-2)*((15^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012

Mathematica

Total/@Table[QBinomial[n, m, 15], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

Crossrefs

Row sums of triangle A022179.

Sequence in context: A355131 A355134 A277037 * A208885 A255433 A121936

Adjacent sequences: A015200 A015201 A015202 * A015204 A015205 A015206

Keyword

nonn

Author

N. J. A. Sloane, Olivier Gérard

Status

approved