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A015417
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Gaussian binomial coefficient [ n,11 ] for q=-10.
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2
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1, -90909090909, 9182736455455463728191, -917356289256280909173471073462809, 91744803405968779530929125886960513398447191, -9174388596710909926545613072877527255280907421320652809
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OFFSET
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11,2
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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 = 11..100
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FORMULA
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a(n) = product(((-10)^(n-i+1)-1)/((-10)^i-1), i=1..11). - Vincenzo Librandi, Nov 06 2012
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MATHEMATICA
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Table[QBinomial[n, 11, -10], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 11, -10) for n in xrange(11, 16)] # [From Zerinvary Lajos, May 28 2009]
(MAGMA) r:=11; q:=-10; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 06 2012
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CROSSREFS
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Sequence in context: A045519 A153433 A234386 * A217468 A234052 A104831
Adjacent sequences: A015414 A015415 A015416 * A015418 A015419 A015420
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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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