A015201 Sum of Gaussian binomial coefficients for q=13.

1, 2, 16, 368, 35872, 10581824, 13340150272, 51103113038336, 837176839011073024, 41688053546681235027968, 8877924639652962346524196864, 5747069945873421832482391628398592, 15910676414562258056085140791577932300288

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 A022177.

Programs

Mathematica

Total/@Table[QBinomial[n, m, 13], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)