08/08/2014, 02:27 AM

(08/08/2014, 12:55 AM)jaydfox Wrote:(08/06/2014, 04:38 PM)Gottfried Wrote: I'll also be much interested if I can learn about the approach how to determine the function f(x) which prognoses/approximates the elements of the sequence. I could implement the function f(x) in Pari/Gp but just did not get the clue how one would arrive at it.

Gottfried

Deriving the continuous function is actually pretty straightforward. I'll use exp(x) as an example:

(...)

By induction:

Then, as I posted previously:

Ahh, that's very straightforward and very nice. I'll have to contemplate this a while until I can handle this smoothly myself. Thank you so far!

Gottfried

Gottfried Helms, Kassel