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 Mar 19 awarded Necromancer Feb 16 comment Closed form for $\int_0^1\log\log\left(\frac{1}{x}+\sqrt{\frac{1}{x^2}-1}\right)\mathrm dx$ Maybe this formula is better and shorter? $$-\gamma - \ln {\frac {8 \pi ^ 2} {\Gamma (\frac {1} {4}) ^ 4 }}$$ Feb 13 comment Surprising identities / equations It looks interesting. In other words: $^{2}3 + ^{2}4 + ^{2}3 + ^{2}5 = 3435$, where $^{b}a$ is tetration. Dec 5 revised How do I compute multinomials efficiently? Added reference to code in github.com repository. Dec 5 answered How to solve an nth degree polynomial equation Nov 27 comment Why does $1+2+3+\cdots = -\frac{1}{12}$? @GottfriedHelms, I don't know. Probably there is a way to evaluate not only c coefficient (-1/12) of this parabola, but a and b too. It works only with infinite number of points (excel can process only finite set). Sep 27 comment Why does $1+2+3+\cdots = -\frac{1}{12}$? @ChrisCulter, yep, it's my additions. I updated the answer. Sep 27 revised Why does $1+2+3+\cdots = -\frac{1}{12}$? Added explanation, more clear picture. Sep 11 answered Why does $1+2+3+\cdots = -\frac{1}{12}$? Apr 1 awarded Notable Question Dec 16 awarded Caucus Nov 10 awarded Announcer Jul 2 awarded Curious May 21 awarded Popular Question Feb 16 revised Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions added 10 characters in body; edited title Feb 16 comment Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions @abstractnature, I typed in latex by myself with help of MathJax basic tutorial and quick reference. Also I used Detexify2 service for getting '\' code in latex. Why did you ask about it? Feb 16 asked Calculate $\lceil \frac{n}{log_2k} \rceil; n \geqslant 1, k \geqslant 2$ with only integer functions Jan 24 awarded Popular Question Aug 7 awarded Yearling Aug 5 awarded Announcer