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A015306 Gaussian binomial coefficient [ n,5 ] for q = -3. 2
1, -182, 49777, -11662040, 2869444942, -694405675964, 168973319623174, -41041673208656120, 9974653139743515223, -2423717068608654822146, 588973263031690760850991, -143119691677080990521708240 (list; graph; refs; listen; history; text; internal format)
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

Vincenzo Librandi, Table of n, a(n) for n = 5..200

Index entries for linear recurrences with constant coefficients, signature (-182,16653,428220,-4046679,-10746918,14348907)

FORMULA

G.f.: -x^5 / ( (x-1)*(27*x+1)*(81*x-1)*(9*x-1)*(3*x+1)*(243*x+1) ). - R. J. Mathar, Aug 03 2016

MATHEMATICA

Table[QBinomial[n, 5, -3], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *)

PROG

(Sage) [gaussian_binomial(n, 5, -3) for n in xrange(5, 17)] # Zerinvary Lajos, May 27 2009

CROSSREFS

Sequence in context: A035839 A048546 A225712 * A190830 A145525 A028676

Adjacent sequences:  A015303 A015304 A015305 * A015307 A015308 A015309

KEYWORD

sign,easy

AUTHOR

Olivier Gérard, Dec 11 1999

STATUS

approved

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Last modified March 20 15:43 EDT 2019. Contains 321345 sequences. (Running on oeis4.)