A015328 Gaussian binomial coefficient [ n,6 ] for q = -6.

1, 39991, 1919128099, 89126228045659, 4161484248724884235, 194133243948726244454635, 9057674762915720387519905195, 422593364163884169440003098013995

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 (39991, 319848018, -412665849288, -89135823446208, 3223331091606528, 18803167718178816, -21936950640377856).

Formula

G.f.: x^6 /((x-1)*(216*x+1)*(36*x-1)*(7776*x+1)*(1296*x-1)*(6*x+1)*(46656*x-1)). - R. J. Mathar, Sep 02 2016

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A250909 A252332 A106772 * A251970 A270261 A272889

Adjacent sequences: A015325 A015326 A015327 * A015329 A015330 A015331

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved