A015346 Gaussian binomial coefficient [ n,7 ] for q = -7.

1, -720600, 605808540100, -497459062806004200, 409849628721453245181802, -337508711324786004755672161800, 277955299234477922983349122651265300, -228907863042160417649553303166468327692600

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..170

Mathematica

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

Prog

(Sage) [gaussian_binomial(n, 7, -7) for n in range(7, 15)] # Zerinvary Lajos, May 27 2009
(Magma) r:=7; q:=-7; [&*[(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: A252887 A204403 A250372 * A190932 A153580 A153581

Adjacent sequences: A015343 A015344 A015345 * A015347 A015348 A015349

Keyword

sign,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved