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A144703 Denominators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.

%I A144703 #19 Feb 03 2014 11:21:04
%S A144703 2,2,2,1,2,2,1,1,1,2,2,4,1,2,2,4,2,16,1,16,1,16,2,16,2,2,1,2,1,2,1,2,
%T A144703 2,2,16,1,4,1,8,1,4,2,16,1,2,32,1,32,1,16,1,16,2,32,1,32,2,256,1,128,
%U A144703 1,256,1,64,1,256,1,128,2,256,2,128,1,64,1,128,1,32,1,128,2,64,2,128,2,2
%N A144703 Denominators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.
%H A144703 Alois P. Heinz, <a href="/A144703/b144703.txt">Rows n = 0..114, flattened</a>
%p A144703 seq(seq(denom(coeff(s(n)(x), x, k)), k=0..ceil((3*n+1)/2)), n=0..10);
%Y A144703 See A144702 for more information on S(n,k).
%K A144703 frac,tabf,nonn,look
%O A144703 0,1
%A A144703 _Alois P. Heinz_, Sep 19 2008