A015326 Gaussian binomial coefficient [ n,6 ] for q = -4.

1, 3277, 14317213, 57741320029, 237435704507485, 971588061067577437, 3980596286193864759389, 16303527542855381993658461, 66780267552779682073190144093, 273530932713230996784935699290205

Offset

6,2

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 = 6..200

Index entries for linear recurrences with constant coefficients, signature (3277, 3578484, -902879040, -57784258560, 938078109696, 3518651957248, -4398046511104).

Formula

G.f.: x^6 / ( (x-1)*(4096*x-1)*(256*x-1)*(64*x+1)*(4*x+1)*(16*x-1)*(1024*x+1) ). - R. J. Mathar, Aug 04 2016

Mathematica

Table[QBinomial[n, 6, -4], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 6, -4) for n in range(6, 16)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A293626 A152506 A309284 * A252074 A281294 A043472

Adjacent sequences: A015323 A015324 A015325 * A015327 A015328 A015329

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved