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A015414 Gaussian binomial coefficient [ n,11 ] for q=-9. 2

%I

%S 1,-28242953648,897372484611991440598,

%T -28121923404466184234811544425296,

%U 882630281467161063728449241801432249226565,-27697404417453539188846019907159858548132165589760832,869175534545800426775448129124238227336771807766117241522242296

%N Gaussian binomial coefficient [ n,11 ] for q=-9.

%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="/A015414/b015414.txt">Table of n, a(n) for n = 11..100</a>

%F a(n) = Product_{i=1..11} ((-9)^(n-i+1)-1)/((-9)^i-1) (by definition). - _Vincenzo Librandi_, Nov 06 2012

%t Table[QBinomial[n, 11, -9], {n, 11, 20}] (* _Vincenzo Librandi_, Nov 06 2012 *)

%o (Sage) [gaussian_binomial(n,11,-9) for n in xrange(11,17)] # _Zerinvary Lajos_, May 28 2009

%o (MAGMA) r:=11; q:=-9; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Nov 06 2012

%K sign,easy

%O 11,2

%A _Olivier GĂ©rard_

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Last modified April 24 00:02 EDT 2019. Contains 322404 sequences. (Running on oeis4.)