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A015203
Sum of Gaussian binomial coefficients for q=15.
1
1, 2, 18, 484, 61700, 24625416, 46902626632, 280592659752848, 8014314610618754064, 719144325473017534005280, 308098615000966585021543006496, 414695472396278556489315958364507712, 2664978629760569684020787743089224873508928
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
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)*((15^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012
MATHEMATICA
Total/@Table[QBinomial[n, m, 15], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)
CROSSREFS
Row sums of triangle A022179.
Sequence in context: A355131 A355134 A277037 * A208885 A255433 A121936
KEYWORD
nonn
STATUS
approved