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Decimal expansion of -int(x*cos(x)/(1+x^2),x=0..infinity).
1

%I #9 Feb 19 2014 11:59:04

%S 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,

%T 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,

%U 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

%N Decimal expansion of -int(x*cos(x)/(1+x^2),x=0..infinity).

%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 424-425.

%F (e^2*Ei(-1)+Ei(1))/(2*e) where Ei is the exponential integral function. - _Jean-François Alcover_, Feb 19 2014

%e .050413760455935997212200091275136109621498785400910367873

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

%Y Cf. A216184, A086056.

%K nonn,cons

%O 0,2

%A _N. J. A. Sloane_, Sep 28 2013