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Hi Henrik, my goal really is just a showcase of MC integration nothing else. Mathematica even has a built in function as StieltjesGamma[n]. FFT is without a doubt practically better, but that's not the reason I'm doing it.
Thanks! I was pretty much looking for something like this. I suppose the only way to "solve" this problem is through what you call a quick hack, since there is no well defined shape for the noodle.
Yes Szabolcs but I'm not able to adjust the source code for what I wanted. It seems quite lengthy. I really wanted to have a simple function as in the post above which I can repeat a few times with Table and take a mean.