A015313 Gaussian binomial coefficient [ n,5 ] for q = -8.

1, -29127, 969583737, -31709385606535, 1039306892330748537, -34054968941001637311879, 1115917479276007905665796729, -36566366524181816928510601278855

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 (-29127,121201608,61919137280,-3971534290944,-31274878107648,35184372088832).

Formula

G.f.: -x^5 / ( (x-1)*(8*x+1)*(64*x-1)*(512*x+1)*(32768*x+1)*(4096*x-1) ). - R. J. Mathar, Aug 04 2016

Mathematica

Table[QBinomial[n, 5, -8], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 5, -8) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A250762 A249465 A257391 * A242741 A152939 A028462

Adjacent sequences: A015310 A015311 A015312 * A015314 A015315 A015316

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved