|
%I #14 Sep 08 2022 08:46:09
%S 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,
%T 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,
%U 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
%N Decimal expansion of Integral_{t=0..1} t^2*arctan(t) dt.
%H G. C. Greubel, <a href="/A247686/b247686.txt">Table of n, a(n) for n = 0..10000</a>
%H D. H. Bailey, J. M. Borwein, <a href="https://escholarship.org/uc/item/4281090t">Highly Parallel, High-Precision Numerical Integration</a> p. 6. (2005) Lawrence Berkeley National Laboratory
%F Equals (Pi - 2 + log(4))/12.
%e 0.2106572512258069881080923021829880016956808056746346941...
%t RealDigits[(Pi - 2 + Log[4])/12, 10, 103] // First
%o (PARI) (Pi - 2 + log(4))/12 \\ _Michel Marcus_, Sep 22 2014
%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (Pi(R) - 2 + Log(4))/12; // _G. C. Greubel_, Sep 07 2018
%K nonn,cons,easy
%O 0,1
%A _Jean-François Alcover_, Sep 22 2014
|
