

A015209


Sum of Gaussian binomial coefficients for q=18.


1



1, 2, 21, 688, 123827, 72470454, 234124353817, 2465349491066876, 143340549850680842079, 27168340876252989570097858, 28432984085878392152571573148709, 97003727566351469067244149247119170952
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OFFSET

0,2


REFERENCES

J. Goldman and G.C. Rota, The number of subspaces of a vector space, pp. 7583 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), 325351.


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(n1) + a(n2)*((18^(n1))  1).  Vincenzo Librandi, Nov 02 2012


MATHEMATICA

Total/@Table[QBinomial[n, m, 18], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)


CROSSREFS

Row sums of triangle A022182.
Sequence in context: A095224 A034984 A024233 * A342267 A113083 A174964
Adjacent sequences: A015206 A015207 A015208 * A015210 A015211 A015212


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Olivier Gérard


STATUS

approved



