A015349 Gaussian binomial coefficient [ n,7 ] for q = -9.

1, -4304672, 20846476694116, -99571465386311288480, 476319830905927777714449130, -2278184404047301621409794099651808, 10896505884544222754038383150470776581556, -52117638957586712017437457380440909324731738208

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..150

Mathematica

QBinomial[Range[7, 20], 7, -9] (* Harvey P. Dale, Dec 28 2011 *)

Prog

(Sage) [gaussian_binomial(n, 7, -9) for n in range(7, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..15]]; // Vincenzo Librandi, Nov 02 2012

Crossrefs

Sequence in context: A210308 A205271 A234168 * A210403 A263155 A254266

Adjacent sequences: A015346 A015347 A015348 * A015350 A015351 A015352

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Extensions

One more term from Harvey P. Dale, Dec 28 2011

Status

approved