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A015300 Gaussian binomial coefficient [ n,4 ] for q = -11. 2
1, 13421, 198134223, 2898705467483, 42442845454886086, 621401842151984058606, 9097949506151746630368210, 133203071884610819994409432410, 1950226184559914695131839252162415 (list; graph; refs; listen; history; text; internal format)
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

Vincenzo Librandi, Table of n, a(n) for n = 4..200

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 xrange(4, 13)] # Zerinvary Lajos, May 27 2009

CROSSREFS

Sequence in context: A083598 A238295 A291913 * A298686 A298687 A190473

Adjacent sequences:  A015297 A015298 A015299 * A015301 A015302 A015303

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard, Dec 11 1999

STATUS

approved

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Last modified March 26 16:33 EDT 2019. Contains 321510 sequences. (Running on oeis4.)