06/23/2013, 11:13 AM
(This post was last modified: 06/23/2013, 11:19 AM by sheldonison.)

(06/22/2013, 09:55 PM)Gottfried Wrote: ....Hey Gottfried!

where denotes the Schröder function.

So then, the Schröder function of -infinity for base sqrt(2) from the fixed point of 2 turns out to be . The significance of this value is that it is also the radius of convergence of the Taylor series for the inverse Schröder function, since -infinity is the nearest singularity, so the radius of convergence would be approximately 1.3156.

Then we use the inverse Schröder function of to get Gottfried's number.

- Sheldon