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A015346 Gaussian binomial coefficient [ n,7 ] for q = -7. 2

%I

%S 1,-720600,605808540100,-497459062806004200,409849628721453245181802,

%T -337508711324786004755672161800,277955299234477922983349122651265300,

%U -228907863042160417649553303166468327692600

%N Gaussian binomial coefficient [ n,7 ] for q = -7.

%D 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.

%D I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.

%D M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

%H Vincenzo Librandi, <a href="/A015346/b015346.txt">Table of n, a(n) for n = 7..170</a>

%t Table[QBinomial[n, 7, -7], {n, 7, 20}] (* _Vincenzo Librandi_, Nov 02 2012 *)

%o (Sage) [gaussian_binomial(n,7,-7) for n in xrange(7,15)] # _Zerinvary Lajos_, May 27 2009

%o (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

%K sign,easy

%O 7,2

%A _Olivier GĂ©rard_, Dec 11 1999

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Last modified April 26 03:37 EDT 2019. Contains 322469 sequences. (Running on oeis4.)