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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. 3

%I #19 Feb 03 2014 11:21:04

%S 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 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 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 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 Alois P. Heinz, <a href="/A144703/b144703.txt">Rows n = 0..114, flattened</a>

%p seq(seq(denom(coeff(s(n)(x), x, k)), k=0..ceil((3*n+1)/2)), n=0..10);

%Y See A144702 for more information on S(n,k).

%K frac,tabf,nonn,look

%O 0,1

%A _Alois P. Heinz_, Sep 19 2008

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)