A015341 Gaussian binomial coefficient [ n,7 ] for q = -4.

1, -13107, 229062301, -3695215419555, 60779845138496605, -994845394688060798883, 16303527542855381993658461, -267100691734599723202106566563, 4376244513647234644625387176712285

Offset

7,2

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 = 7..200

Index entries for linear recurrences with constant coefficients, signature (-13107,57268852,57727002816,-14850554449920,-945799214137344,15372990401216512,57645195621040128,-72057594037927936).

Formula

G.f.: x^7 / ( (x-1)*(16384*x+1)*(4096*x-1)*(256*x-1)*(64*x+1)*(4*x+1)*(16*x-1)*(1024*x+1) ). - R. J. Mathar, Sep 02 2016

Mathematica

Table[QBinomial[n, 7, -4], {n, 7, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 7, -4) for n in range(7, 16)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A345150 A345151 A252548 * A233689 A250904 A250948

Adjacent sequences: A015338 A015339 A015340 * A015342 A015343 A015344

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved