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A015328
Gaussian binomial coefficient [ n,6 ] for q = -6.
2
1, 39991, 1919128099, 89126228045659, 4161484248724884235, 194133243948726244454635, 9057674762915720387519905195, 422593364163884169440003098013995
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
Index entries for linear recurrences with constant coefficients, signature (39991, 319848018, -412665849288, -89135823446208, 3223331091606528, 18803167718178816, -21936950640377856).
FORMULA
G.f.: x^6 /((x-1)*(216*x+1)*(36*x-1)*(7776*x+1)*(1296*x-1)*(6*x+1)*(46656*x-1)). - R. J. Mathar, Sep 02 2016
MATHEMATICA
Table[QBinomial[n, 6, -6], {n, 6, 20}] (* Vincenzo Librandi, Oct 29 2012 *)
PROG
(Sage) [gaussian_binomial(n, 6, -6) for n in range(6, 14)] # Zerinvary Lajos, May 27 2009
CROSSREFS
Sequence in context: A250909 A252332 A106772 * A251970 A270261 A272889
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved