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

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, 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, 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

Offset: 0

Author

Francesco Daddi, Jul 07 2013

Keywords

• nonn
• cons

Examples

			0.3770784253537429455054421613705422044050451917056787010476228998042...
		

Programs

Maple

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

Mathematica

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

PARI

suminf(k=1,exp(-k^2)/k) \\ Charles R Greathouse IV, Jul 07 2013