A015298 Gaussian binomial coefficient [ n,4 ] for q = -10.

1, 9091, 91828191, 917364637191, 9174563736547191, 91744720010017447191, 917448117456547208447191, 9174480257209191175298447191, 91744803489448201844894398447191

Offset

4,2

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 = 4..200

Index entries for linear recurrences with constant coefficients, signature (9091,9181910,-918191000,-9091000000,10000000000).

Formula

G.f.: -x^4 / ( (x-1)*(10*x+1)*(1000*x+1)*(100*x-1)*(10000*x-1) ). - R. J. Mathar, Aug 03 2016

Mathematica

Table[QBinomial[n, 4, -10], {n, 4, 20}] (* Vincenzo Librandi, Oct 28 2012 *)

Prog

(Sage) [gaussian_binomial(n, 4, -10) for n in range(4, 13)] # Zerinvary Lajos, May 27 2009
(Magma) r:=4; q:=-10; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Aug 03 2016

Crossrefs

Sequence in context: A247991 A234532 A097209 * A157619 A233713 A174983

Adjacent sequences: A015295 A015296 A015297 * A015299 A015300 A015301

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved