A229174 Decimal expansion of Integral_{x=0..Infinity} x*cos(x)/(1+x^2).

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

Offset: 0

Author

N. J. A. Sloane, Sep 28 2013

Keywords

• nonn
• cons

Examples

			0.050413760455935997212200091275136109621498785400910367873
		

References

• Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 424-425.

Crossrefs

Cf. A216184, A086056.

Programs

Mathematica

Join[{0}, (E^2*ExpIntegralEi[-1] + ExpIntegralEi[1])/(2*E) // RealDigits[#, 10, 106]& // First] (* Jean-François Alcover, Feb 19 2014 *)

Formula

Equals (e^2*Ei(-1)+Ei(1))/(2*e) where Ei is the exponential integral function. - Jean-François Alcover, Feb 19 2014