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 A015309 Gaussian binomial coefficient [ n,5 ] for q = -5. 5
 1, -2604, 8476671, -26279294704, 82254445109046, -256962886520659704, 803060432690378496546, -2509531719872244898534704, 7842306707330337276457324671, -24507195908707737696414306347204 (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 (-2604,1695855,209963000,-5299546875,-25429687500,30517578125) FORMULA G.f.: -x^5 / ( (x-1)*(5*x+1)*(25*x-1)*(625*x-1)*(125*x+1)*(3125*x+1) ). - R. J. Mathar, Aug 04 2016 MATHEMATICA Table[QBinomial[n, 5, -5], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *) PROG (Sage) [gaussian_binomial(n, 5, -5) for n in range(5, 15)] # Zerinvary Lajos, May 27 2009 (MAGMA) r:=5; q:=-5; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Aug 03 2016 CROSSREFS Sequence in context: A031729 A001726 A109487 * A212083 A236889 A254695 Adjacent sequences:  A015306 A015307 A015308 * A015310 A015311 A015312 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified January 21 05:39 EST 2020. Contains 331104 sequences. (Running on oeis4.)