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 A015312 Gaussian binomial coefficient [ n,5 ] for q = -7. 4
 1, -14706, 252313293, -4228301370600, 71094673339606302, -1194817080145423511412, 20081461365765141084602686, -337508711324786004755672161800, 5672509895284807570626050787828903 (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..100 Index entries for linear recurrences with constant coefficients, signature (-14706,36046857,12322995300,-605839525599,-4154081011794,4747561509943). FORMULA G.f.: -x^5 / ( (x-1)*(16807*x+1)*(49*x-1)*(343*x+1)*(7*x+1)*(2401*x-1) ). - R. J. Mathar, Aug 04 2016 MATHEMATICA QBinomial[Range[5, 20], 5, -7] (* Harvey P. Dale, Feb 27 2012 *) PROG (Sage) [gaussian_binomial(n, 5, -7) for n in xrange(5, 14)] # Zerinvary Lajos, May 27 2009 (MAGMA) r:=5; q:=-7; [&*[(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: A013861 A291145 A256839 * A219068 A023333 A249464 Adjacent sequences:  A015309 A015310 A015311 * A015313 A015314 A015315 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified October 15 22:25 EDT 2019. Contains 328038 sequences. (Running on oeis4.)