[VA] SRC#001 - Spiky Integral

[Gerson W. Barbosa]

(07-18-2018 11:39 PM)Valentin Albillo Wrote:  Needless to say, computing I(20000) this way would require a truly humongous amount of time, certainly it would for my POPS (Pretty Old Pretty Slow) system, and regrettably I can't allocate that much running time to this task.

Anyway, on a more feasible scale and in case it still might be useful to you, this is what a sufficiently accurate algorithm should return for N=1,000:

      I(1000) = 0.0002742581536       (all digits shown are correct)

It has been useful!

On Free42 I get 0.000274258153298, which is good to 9 significant digits. Since that's based on an asymptotic formula, the result for N=20,000 should be even more accurate.

Thanks again,

Gerson.