A015353 Gaussian binomial coefficient [ n,7 ] for q = -11.

1, -17863240, 351004879413684, -6834956902420811530200, 133203071884610819994409432410, -2595734922068255016665440444288632600, 50583558850117484638411502782868591609069220

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..140

Mathematica

Table[QBinomial[n, 7, -11], {n, 7, 16}] (* Vincenzo Librandi, Nov 02 2012 *)

Prog

(Sage) [gaussian_binomial(n, 7, -11) for n in range(7, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-11; [&*[(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: A372694 A159192 A154875 * A083619 A257550 A282670

Adjacent sequences: A015350 A015351 A015352 * A015354 A015355 A015356

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved