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A015390
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Gaussian binomial coefficient [ n,10 ] for q=-4.
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14
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1, 838861, 938250090141, 968690748238618461, 1019729183363623510391901, 1068220365220113899181567068253, 1120383768613759382944995805859747933, 1174735830441360695151745376566623493806173, 1231818594183047090443637654682442929123639613533
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OFFSET
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10,2
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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 = 10..150
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FORMULA
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a(n)=product_{i=1..10} ((-4)^(n-i+1)-1)/((-4)^i-1) (by definition). - Vincenzo Librandi, Nov 04 2012
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MATHEMATICA
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Table[QBinomial[n, 10, -4], {n, 10, 20}] (* Vincenzo Librandi, Nov 04 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 10, -4) for n in xrange(10, 17)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 25 2009]
(MAGMA) r:=10; q:=-4; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 04 2012
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CROSSREFS
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Cf. Gaussian binomial coefficients [n, 10] for q = -2,...,-13: A015386, A015388, A015391, A015392, A015393, A015394, A015397, A015398, A015399, A015401, A015402. - Vincenzo Librandi, Nov 04 2012
Sequence in context: A063875 A179727 A113150 * A043623 A185520 A157078
Adjacent sequences: A015387 A015388 A015389 * A015391 A015392 A015393
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KEYWORD
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nonn,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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