Problem #313

Euler-constant like
Public 2м:4w 13xp Math 29.4%


What is $ \sum\limits_{0 \lt 1+4\times k \le n} \frac{1}{1+4\times k} - \frac{\log(n)}{4} \textrm{ when }n \to \infty$

Give your answer with 30 digits after the decimal point.

[My timing: instant]

Hint: there is a closed form.



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