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A015278
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Gaussian binomial coefficient [ n,3 ] for q=-10.
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2
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1, -909, 918191, -917272809, 917364637191, -917355454462809, 917356372736537191, -917356280909173462809, 917356290091909926537191, -917356289173636281073462809, 917356289265463645628926537191
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OFFSET
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3,2
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REFERENCES
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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.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 3..200
Index entries for linear recurrences with constant coefficients, signature (-909,91910,909000,-1000000).
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FORMULA
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G.f.: x^3/((1-x)*(1+10*x)*(1-100*x)*(1+1000*x)). - Bruno Berselli, Oct 30 2012
a(n) = (-1+91*10^(2n-3)+(-1)^n*10^(n-2)*(91-10^(2n-1)))/1090089. - Bruno Berselli, Oct 30 2012
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MATHEMATICA
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Table[QBinomial[n, 3, -10], {n, 3, 20}] (* Vincenzo Librandi, Oct 28 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 3, -10) for n in xrange(3, 14)] # [From Zerinvary Lajos, May 27 2009]
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CROSSREFS
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Sequence in context: A214001 A252136 A216930 * A210170 A068261 A119520
Adjacent sequences: A015275 A015276 A015277 * A015279 A015280 A015281
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KEYWORD
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sign,easy
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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