A015331 Gaussian binomial coefficient [ n,6 ] for q = -8.

1, 233017, 62053592185, 16235267484138105, 4257017266254230145657, 1115917479276007905665796729, 292532187604809092430760283523705, 76685521221108550544352295253436844665

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..190

Ji Young Choi, A Generalization of Collatz Functions and Jacobsthal Numbers, J. Int. Seq., Vol. 21 (2018), Article 18.5.4.

Formula

G.f.: x^6/((1-x)*(1+8*x)*(1-64*x)*(1+512*x)*(1-4096*x)*(1+32768*x)*(1-262144*x)). - Vincenzo Librandi, Oct 30 2012

Mathematica

QBinomial[Range[6, 15], 6, -8] (* Harvey P. Dale, Nov 25 2011 *)
Table[QBinomial[n, 6, -8], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

Prog

(Sage) [gaussian_binomial(n, 6, -8) for n in range(6, 14)] # Zerinvary Lajos, May 27 2009

Crossrefs

Sequence in context: A128484 A257638 A116463 * A250697 A250682 A238500

Adjacent sequences: A015328 A015329 A015330 * A015332 A015333 A015334

Keyword

nonn,easy

Author

Olivier Gérard, Dec 11 1999

Status

approved