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A015204 Sum of Gaussian binomial coefficients for q=16. 1
1, 2, 19, 548, 78901, 36070982, 82805758039, 605336231791208, 22229212008282455161, 2599943776445794193452682, 1527585017328101696333407084699, 2858671468933430533899194300073611948, 26873565540839814480301520088779437828129981 (list; graph; refs; listen; history; text; internal format)
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.

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

M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..50

FORMULA

a(0) = 1, a(1) = 2, a(n) = 2*a(n-1) + a(n-2)*((16^(n-1)) - 1). - Vincenzo Librandi, Nov 02 2012

MATHEMATICA

Total/@Table[QBinomial[n, m, 16], {n, 0, 20}, {m, 0, n}] (* Vincenzo Librandi, Nov 02 2012 *)

CROSSREFS

Sequence in context: A239674 A306457 A158099 * A247241 A270918 A296235

Adjacent sequences:  A015201 A015202 A015203 * A015205 A015206 A015207

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Olivier Gérard

STATUS

approved

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Last modified April 20 03:36 EDT 2019. Contains 322294 sequences. (Running on oeis4.)