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A015300
Gaussian binomial coefficient [ n,4 ] for q = -11.
2
1, 13421, 198134223, 2898705467483, 42442845454886086, 621401842151984058606, 9097949506151746630368210, 133203071884610819994409432410, 1950226184559914695131839252162415
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
Index entries for linear recurrences with constant coefficients, signature (13421,18010982,-2179328822,-23776120181,25937424601).
FORMULA
G.f.: -x^4 / ( (x-1)*(11*x+1)*(121*x-1)*(1331*x+1)*(14641*x-1) ). - R. J. Mathar, Aug 03 2016
MATHEMATICA
Table[QBinomial[n, 4, -11], {n, 4, 20}] (* Vincenzo Librandi, Oct 28 2012 *)
PROG
(Sage) [gaussian_binomial(n, 4, -11) for n in range(4, 13)] # Zerinvary Lajos, May 27 2009
CROSSREFS
Sequence in context: A083598 A238295 A291913 * A298686 A298687 A190473
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved