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.

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, 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, 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

Offset: 0

Author

Alois P. Heinz, Sep 19 2008

Keywords

• frac
• tabf
• nonn
• look

Links

• Alois P. Heinz, Rows n = 0..114, flattened

Crossrefs

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

Programs

Maple

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