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
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved