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A015316
Gaussian binomial coefficient [ n,5 ] for q = -10.
4
1, -90909, 9182728191, -917355454462809, 91744720010017447191, -9174380256281734701652809, 917438943076290926712489347191, -91743885133148835462057759420652809
OFFSET
5,2
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 (-90909,918281910,917272809000,-91828191000000,-909090000000000,1000000000000000).
FORMULA
G.f.: -x^5 / ( (x-1)*(10*x+1)*(1000*x+1)*(100*x-1)*(10000*x-1)*(100000*x+1) ). - R. J. Mathar, Aug 04 2016
MATHEMATICA
Table[QBinomial[n, 5, -10], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)
PROG
(Sage) [gaussian_binomial(n, 5, -10) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009
CROSSREFS
Sequence in context: A179732 A131353 A183677 * A212853 A127660 A127659
KEYWORD
sign,easy
AUTHOR
Olivier Gérard, Dec 11 1999
STATUS
approved