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A015211
Sum of Gaussian binomial coefficients for q=20.
2
1, 2, 23, 844, 185665, 135410486, 594398635307, 8667459765860128, 760847587518093084949, 221888491692526853220309770, 389554408585486196960076347534591, 2272138934040070259456673438099474759412
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)*((20^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012
MATHEMATICA
Total/@Table[QBinomial[n, m, 20], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)
CROSSREFS
Row sums of triangle A022184.
Sequence in context: A237580 A273976 A098633 * A266992 A079480 A239398
KEYWORD
nonn
STATUS
approved