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1,1

Integral(x=0..Pi) x*sin(x)/(1+cos(x)^2) dx.

Also equals integral(x=0..1) log((1+x)/(1-x))/x dx. [Jean-François Alcover, May 13 2013]

Table of n, a(n) for n=1..102.

T. Piezas III, Golden ratio and nested radicals

Eric Weisstein's World of Mathematics, Definite Integral

Equals integral_{x=0..infinity} K_0(x)^2 dx, where K_0 is a modified Bessel function (see Gradstein-Ryshik 6.576.4). - R. J. Mathar, Oct 09 2015

Equals A003881 * A000796. - R. J. Mathar, Oct 09 2015

2.467401...

Sequence in context: A142473 A132426 A072646 * A257578 A272665 A114431

Adjacent sequences: A091473 A091474 A091475 * A091477 A091478 A091479

nonn,cons

Eric W. Weisstein, Jan 13 2004

approved