A015200 Sum of Gaussian binomial coefficients for q=12.

1, 2, 15, 316, 26537, 6605334, 6616438915, 19736647911152, 237118435525391709, 8486871559326397146058, 1223496018226895154470801975, 525487164444668938421129856286884, 909068834019126312744002601418684280593

Offset: 0

Author

N. J. A. Sloane, Olivier Gérard

Keywords

• nonn

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..60
• Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.

Crossrefs

Row sums of triangle A022176.

Programs

Mathematica

Total/@Table[QBinomial[n, m, 12], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)