A247686 Decimal expansion of Integral_{t=0..1} t^2*arctan(t) dt.

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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

D. H. Bailey, J. M. Borwein, Highly Parallel, High-Precision Numerical Integration p. 6. (2005) Lawrence Berkeley National Laboratory

Formula

Equals (Pi - 2 + log(4))/12.

Example

0.2106572512258069881080923021829880016956808056746346941...

Mathematica

RealDigits[(Pi - 2 + Log[4])/12, 10, 103] // First

Prog

(PARI) (Pi - 2 + log(4))/12 \\ Michel Marcus, Sep 22 2014
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (Pi(R) - 2 + Log(4))/12; // G. C. Greubel, Sep 07 2018

Crossrefs

Sequence in context: A047922 A276891 A021830 * A352369 A111184 A111596

Adjacent sequences: A247683 A247684 A247685 * A247687 A247688 A247689

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Sep 22 2014

Status

approved