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 A015319 Gaussian binomial coefficient [ n,5 ] for q = -12. 4
 1, -229691, 57554154133, -14313032243145515, 3561712204486990461397, -886264409554702323499876907, 220531019414004693731359534452181, -54875173091354091477849994502919434795 (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..190 Index entries for linear recurrences with constant coefficients, signature (-229691,4796198652,8282638393920,-1193447702974464,-14221861305974784,15407021574586368). FORMULA G.f.: -x^5 / ( (x-1)*(1728*x+1)*(20736*x-1)*(12*x+1)*(248832*x+1)*(144*x-1) ). - R. J. Mathar, Aug 04 2016 MATHEMATICA Table[QBinomial[n, 5, -12], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *) PROG (Sage) [gaussian_binomial(n, 5, -12) for n in range(5, 13)] # Zerinvary Lajos, May 27 2009 CROSSREFS Sequence in context: A212727 A234670 A324636 * A270515 A179624 A357826 Adjacent sequences: A015316 A015317 A015318 * A015320 A015321 A015322 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified February 4 10:27 EST 2023. Contains 360053 sequences. (Running on oeis4.)