A015354 Gaussian binomial coefficient [ n,7 ] for q = -12.

1, -33075515, 1193443303932565, -42738498397393357626155, 1531471524472711661173885667797, -54875173091354091477849994502919434795, 1966277324678482270775562667263264108238642645, -70455269606355713779351701809782497716434153197609515

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

QBinomial[Range[7, 20], 7, -12] (* Harvey P. Dale, Mar 17 2012 *)

Prog

(Sage) [gaussian_binomial(n, 7, -12) for n in range(7, 13)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-12; [&*[(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: A206043 A157080 A157081 * A256356 A338607 A153324

Adjacent sequences: A015351 A015352 A015353 * A015355 A015356 A015357

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Extensions

More terms from Harvey P. Dale, Mar 17 2012

Status

approved