A015330 Gaussian binomial coefficient [ n,6 ] for q = -7.

1, 102943, 12363454300, 1450319733570100, 170699761008128301202, 20081461365765141084602686, 2362583929682268848603506007900, 277955299234477922983349122651265300

Offset

6,2

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

Vincenzo Librandi, Table of n, a(n) for n = 6..200

Index entries for linear recurrences with constant coefficients, signature (102943, 1766193051, -4228553683893, -1450393913575299, 71272260266184957,488728224518062249, -558545864083284007).

Formula

G.f.: x^6 / ( (x-1)*(117649*x-1)*(16807*x+1)*(49*x-1)*(343*x+1)*(7*x+1)*(2401*x-1) ). - R. J. Mathar, Sep 02 2016

Mathematica

Table[QBinomial[n, 6, -7], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 6, -7) for n in range(6, 14)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A321149 A323604 A014884 * A250704 A250941 A237572

Adjacent sequences: A015327 A015328 A015329 * A015331 A015332 A015333

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved