A246820 Decimal expansion of integral_{0..infinity} x*exp(-x)/(1+x^2) dx.

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

Offset

0,1

Links

Table of n, a(n) for n=0..103.

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 52.

Formula

(1/2)*sin(1)*(Pi - 2*Si(1)) - cos(1)*Ci(1), where Si is the sine integral function and Ci the cosine integral function.

Also equals -integral_{0..1} log(x)/(1+log(x)^2) dx.

Also equals cot(1)*A224518 + Ci(1)*csc(1).

Example

0.3433779615564270328325330038583124340012440194999075192...

Mathematica

RealDigits[(1/2)*Sin[1]*(Pi - 2*SinIntegral[1]) - Cos[1]*CosIntegral[1], 10, 104] // First

Crossrefs

Cf. A073447, A073449, A099281, A099282, A224518.

Sequence in context: A006197 A079404 A349945 * A094237 A016654 A090673

Adjacent sequences: A246817 A246818 A246819 * A246821 A246822 A246823

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Sep 04 2014

Status

approved