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A015409
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Gaussian binomial coefficient [ n,11 ] for q=-5.
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2
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1, -40690104, 2069605714586046, -100252942972187432169704, 4903008044094795843516454343421, -239328104658006678585444195424892284704, 11686690558465291130135333443500921076518590296, -570631883336806742698184435808699328319904985223284704
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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..140
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FORMULA
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a(n) = product(((-5)^(n-i+1)-1)/((-5)^i-1), i=1..11) (by definition). - Vincenzo Librandi, Nov 05 2012
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MATHEMATICA
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Table[QBinomial[n, 11, -5], {n, 11, 20}] (* Vincenzo Librandi, Nov 05 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 11, -5) for n in xrange(11, 17)] # [From Zerinvary Lajos, May 28 2009]
(MAGMA) r:=11; q:=-5; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..25]]; // Vincenzo Librandi, Nov 05 2012
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CROSSREFS
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Sequence in context: A017361 A017481 A017613 * A178204 A130681 A261658
Adjacent sequences: A015406 A015407 A015408 * A015410 A015411 A015412
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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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