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 A015308 Gaussian binomial coefficient [ n,5 ] for q = -4. 3
 1, -819, 894621, -901984419, 927257668701, -948584595081123, 971588061067577437, -994845394688060798883, 1018737244037427165087837, -1043182954580986851130914723, 1068220365220113899181567068253 (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 (-819,223860,14051520,-229232640,-858783744,1073741824). FORMULA a(n) = Product_{i=1..5} ((-4)^(n-i+1)-1)/((-4)^i-1), by definition. - Vincenzo Librandi, Aug 03 2016 G.f.: -x^5/(x-1)/(256*x-1)/(64*x+1)/(4*x+1)/(16*x-1)/(1024*x+1). - R. J. Mathar, Aug 04 2016 MATHEMATICA Table[QBinomial[n, 5, -4], {n, 5, 20}] (* Vincenzo Librandi, Oct 29 2012 *) PROG (Sage) [gaussian_binomial(n, 5, -4) for n in xrange(5, 16)] # Zerinvary Lajos, May 27 2009 (MAGMA) r:=5; q:=-4; [&*[(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: A212612 A064195 A229409 * A156414 A043587 A043791 Adjacent sequences:  A015305 A015306 A015307 * A015309 A015310 A015311 KEYWORD sign,easy AUTHOR Olivier Gérard, Dec 11 1999 STATUS approved

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Last modified March 23 04:46 EDT 2019. Contains 321422 sequences. (Running on oeis4.)