A015217 Sum of Gaussian binomial coefficients for q=24.

1, 2, 27, 1204, 375629, 400208358, 2991792531583, 76486991418728216, 13721923923633091909041, 8419357054564884621321079882, 36250698926534384563556930107015907, 533815775315492783921121148190498865117564

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

Mathematica

Total/@Table[QBinomial[n, m, 24], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

Crossrefs

Row sums of triangle A022188.

Sequence in context: A221534 A221535 A067075 * A320417 A113094 A327128

Adjacent sequences: A015214 A015215 A015216 * A015218 A015219 A015220

Keyword

nonn

Author

N. J. A. Sloane, Olivier Gérard

Status

approved