A015332 Gaussian binomial coefficient [ n,6 ] for q = -9.

1, 478297, 257363962948, 136586400868021924, 72598678627860564552010, 38581260992855637306941215162, 20503702504565185601675453268123604, 10896505884544222754038383150470776581556

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..180

Formula

G.f.: x^6/((1-x)*(1+9*x)*(1-81*x)*(1+729*x)*(1-6561*x)*(1+59049*x)*(1-531441*x)). - Vincenzo Librandi, Oct 30 2012

Mathematica

Table[QBinomial[n, 6, -9], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 6, -9) for n in range(6, 14)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A244628 A290050 A244086 * A238178 A250714 A203503

Adjacent sequences: A015329 A015330 A015331 * A015333 A015334 A015335

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved