[VA] SRC #012c - Then and Now: Sum

[ThomasF]

(11-30-2022 09:15 AM)J-F Garnier Wrote:  Any confirmation of my analysis is welcome!

Hi J-F,

I can't confirm, but that was the same track I was using.

Realizing that f(d) is constant between 2^d and 2^(d+1)-1, and if moved out of the summation we are left with a harmonic series, i.e we could just sum over something like this: 1/f(d) * (H(2^(d+1)-1) - H(2^d-1)) with d=1..K, and testing that hypothesis converges to something close to 1.96643...

At least we get the similar result - is it the right track ... ? Maybe

Edit: Corrected the formula - got one reciprocal too many ...

Cheers,
Thomas