The conversation between human and AI assistant.
How I find the sum of this series? [math]\displaystyle \sum_{k=1}^{\infty} \frac 1 k \ln(\frac 1 k + 1)[/math]
Interesting. And then?
After integrating by parts, we get an expression in terms of the dilogarithm function, which can further simplify to the Catalan constant.