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A227336 Decimal expansion of Sum_{k>=1} exp(-k^2)/k. 0

%I #14 Jan 28 2014 09:03:49

%S 3,7,7,0,7,8,4,2,5,3,5,3,7,4,2,9,4,5,5,0,5,4,4,2,1,6,1,3,7,0,5,4,2,2,

%T 0,4,4,0,5,0,4,5,1,9,1,7,0,5,6,7,8,7,0,1,0,4,7,6,2,2,8,9,9,8,0,4,2,2,

%U 7,2,5,9,4,8,8,8,0,0,8,2,3,1,1,6,3,3,8,0,1,1,5,5,2,0,9,6,1,9,8,1,6,7,5,9,8

%N Decimal expansion of Sum_{k>=1} exp(-k^2)/k.

%e 0.3770784253537429455054421613705422044050451917056787010476228998042...

%p sum(exp(-k^2)/k, k=1..infinity); evalf(%, 120);

%t digits = 105; NSum[1/(E^(k^2)*k), {k, 1, Infinity}, WorkingPrecision -> digits+1] // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Jan 28 2014 *)

%o (PARI) suminf(k=1,exp(-k^2)/k) \\ _Charles R Greathouse IV_, Jul 07 2013

%K nonn,cons

%O 0,1

%A _Francesco Daddi_, Jul 07 2013

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