A015316 Gaussian binomial coefficient [ n,5 ] for q = -10.

1, -90909, 9182728191, -917355454462809, 91744720010017447191, -9174380256281734701652809, 917438943076290926712489347191, -91743885133148835462057759420652809

Offset

5,2

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 = 5..200

Index entries for linear recurrences with constant coefficients, signature (-90909,918281910,917272809000,-91828191000000,-909090000000000,1000000000000000).

Formula

G.f.: -x^5 / ( (x-1)*(10*x+1)*(1000*x+1)*(100*x-1)*(10000*x-1)*(100000*x+1) ). - R. J. Mathar, Aug 04 2016

Mathematica

Table[QBinomial[n, 5, -10], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 5, -10) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A179732 A131353 A183677 * A212853 A127660 A127659

Adjacent sequences: A015313 A015314 A015315 * A015317 A015318 A015319

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved