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A015346
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Gaussian binomial coefficient [ n,7 ] for q=-7.
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2
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1, -720600, 605808540100, -497459062806004200, 409849628721453245181802, -337508711324786004755672161800, 277955299234477922983349122651265300, -228907863042160417649553303166468327692600
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OFFSET
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7,2
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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 = 7..170
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MATHEMATICA
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Table[QBinomial[n, 7, -7], {n, 7, 20}] (* Vincenzo Librandi, Nov 02 2012 *)
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PROG
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(Sage) [gaussian_binomial(n, 7, -7) for n in xrange(7, 15)] # [From Zerinvary Lajos, May 27 2009]
(MAGMA) r:=7; q:=-7; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..15]]; // Vincenzo Librandi, Nov 02 2012
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CROSSREFS
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Sequence in context: A252887 A204403 A250372 * A190932 A153580 A153581
Adjacent sequences: A015343 A015344 A015345 * A015347 A015348 A015349
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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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