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A015434 Gaussian binomial coefficient [ n,12 ] for q=-11. 2

%I

%S 1,2876892678661,9104162632986302495960347,

%T 28551311330859170052594978984538703567,

%U 89612366318560505321323986969057938917191132920348,281240247078624326614268823428029385995576471270476701478391628

%N Gaussian binomial coefficient [ n,12 ] for q=-11.

%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="/A015434/b015434.txt">Table of n, a(n) for n = 12..90</a>

%F a(n) = product(((-11)^(n-i+1)-1)/((-11)^i-1), i=1..12) (by definition). - _Vincenzo Librandi_, Nov 06 2012

%t Table[QBinomial[n, 12, -11], {n, 12, 20}] (* _Vincenzo Librandi_, Nov 06 2012 *)

%o (Sage) [gaussian_binomial(n,12,-11) for n in range(12,17)] # _Zerinvary Lajos_, May 28 2009

%o (MAGMA) r:=12; q:=-11; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // _Vincenzo Librandi_, Nov 06 2012

%K nonn,easy

%O 12,2

%A _Olivier GĂ©rard_, Dec 11 1999

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Last modified August 12 16:10 EDT 2020. Contains 336439 sequences. (Running on oeis4.)