A015210 Sum of Gaussian binomial coefficients for q=19.

1, 2, 22, 764, 152404, 99869288, 377566978168, 4699193672889776, 337505849373783995536, 79809726992391397235470112, 108909145140488785290568540059232, 489318942025571053898957586140666992064, 12686855492437023425546597742222336158113232704

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)*((19^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012

Mathematica

Total/@Table[QBinomial[n, m, 19], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

Crossrefs

Row sums of triangle A022183.

Sequence in context: A333796 A132568 A279802 * A152558 A202947 A177410

Adjacent sequences: A015207 A015208 A015209 * A015211 A015212 A015213

Keyword

nonn

Author

N. J. A. Sloane, Olivier Gérard

Status

approved