Eikonal Blog

2010.01.05

Sums

Filed under: mathematics, number theory — Tags: , — sandokan65 @ 15:39

\sum_{k=1}^\infty \frac1{k^k} = 1.291,285,997,... (see Prudnikov 5.1.30.1)

\sum_{k=1}^\infty \frac{(-)^k}{k} = -0.783,430,051,...

\sum_{k=1}^\infty \frac{k!}{k^k} = 1.879,853,86...

\sum_{k=1}^\infty \frac{(-)^k k!}{k^k} =  -0.655,831,60...


Reference: T1277

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