A015215 Sum of Gaussian binomial coefficients for q=23.

1, 2, 26, 1108, 318532, 310699784, 2050802289512, 45998820030427216, 6982715817685577376784, 3602226883731790235442134048, 12576944383710950724867108854566304, 149227717546908065915667125958905292219712

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

Mathematica

Total/@Table[QBinomial[n, m, 23], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

Crossrefs

Row sums of triangle A022187.

Sequence in context: A290688 A173103 A002704 * A363892 A158120 A209916

Adjacent sequences: A015212 A015213 A015214 * A015216 A015217 A015218

Keyword

nonn

Author

N. J. A. Sloane, Olivier Gérard

Status

approved