Eulerconstant like
Public  3w:6d  13xp  Math  32.1% 
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.
New Members
 DaPrince 1w:4d
 Thomaffoxia 2w:3d
 Jasurbar 2w:3d
 DrTesla 2w:3d
 Jamfluiz 2w:6d
Fresh Problems

The Goodstein Sequence 6d:17h
solved by 13 
Prime Pandigital Step Numbers 1w:6d
solved by 8 
Hidden title 2w:6d
solved by 15 
Alternate sums 3w:6d
solved by 12 
Eulerconstant like 3w:6d
solved by 9