04/06/2009, 09:20 AM
I just remembered a method I tried like 5 years ago, but haven't visited in a while.
Now that we have better power series expansions of tetration, for example, at)
we have
 = \sum_{k=0}^{\infty}c_k(x+1)^k<br />
)
and using the definition, we can rewrite this as
 <br />
& = \exp\left(\text{tet}(x-1)\right) \\<br />
& = \exp\left(\sum_{k=0}^{\infty}c_kx^k\right) \\<br />
& = \prod_{k=0}^{\infty} \exp(c_k{x^k}) \\<br />
& = \prod_{k=0}^{\infty} a_k^{x^k} \\<br />
\end{array}<br />
)
where 
I wonder if this simplifies the coefficients or just makes things more complicated?
Andrew Robbins
Now that we have better power series expansions of tetration, for example, at
I wonder if this simplifies the coefficients or just makes things more complicated?
Andrew Robbins
