A015347 Gaussian binomial coefficient [ n,7 ] for q = -8.

1, -1864135, 3971428035705, -8312452980450674055, 17436734410124346225937017, -36566366524181816928510601278855, 76685521221108550544352295253436844665, -160821117514369017882638960343040332226049415, 337266348340144487783661620118192764663158488484473

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..160

Mathematica

Table[QBinomial[n, 7, -8], {n, 7, 20}] (* Vincenzo Librandi, Nov 02 2012 *)

Prog

(Sage) [gaussian_binomial(n, 7, -8) for n in range(7, 14)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-8; [&*[(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: A202469 A346742 A115495 * A145276 A251008 A064820

Adjacent sequences: A015344 A015345 A015346 * A015348 A015349 A015350

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved