A093754 - OEIS

A093754

Decimal expansion of -Catalan + (Pi*arcsinh(1))/2 + HypergeometricPFQ[{1/2, 1, 1}, {3/2, 3/2}, 1/9]/6.

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

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Radial Integrals.

FORMULA

Equals Integral_{x=0..1, y=0..1} 1/(x^2 + y^2 + 1) dy dx.

Equals Integral_{x=0..1} arccot(sqrt(x^2+1))/sqrt(x^2+1) dx. - Amiram Eldar, Apr 12 2022

EXAMPLE

0.63951035187031100196269308542732367987599462518472...

MATHEMATICA