

A247320


Decimal expansion of integral_{0..Pi} log(x)/x*log(1 + x)^2 dx, the second of two definite integrals studied by Rutledge and Douglas.


1



1, 7, 5, 5, 7, 1, 3, 4, 3, 1, 3, 7, 3, 1, 0, 6, 0, 4, 0, 7, 3, 1, 8, 6, 5, 8, 9, 9, 9, 5, 5, 2, 3, 8, 6, 8, 4, 3, 0, 0, 4, 5, 4, 6, 4, 1, 3, 6, 9, 4, 2, 2, 3, 4, 9, 2, 4, 1, 6, 6, 9, 9, 7, 4, 9, 4, 4, 4, 4, 1, 1, 5, 2, 6, 0, 2, 1, 7, 0, 1, 5, 3, 3, 2, 3, 1, 4, 1, 8, 6, 5, 9, 4, 2, 0, 6, 2, 4, 3, 0, 6, 7, 3
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


LINKS



FORMULA

A_4  Pi^4/288, where A_4 is A214508.


EXAMPLE

0.175571343137310604073186589995523868430045464136942234924...


MATHEMATICA

A4 = (13*Pi^4)/288 + (1/6)*Pi^2*Log[2]^2  Log[2]^4/6  4* PolyLog[4, 1/2]  (7/2)*Log[2]*Zeta[3]; RealDigits[A4  Pi^4/288, 10, 103] // First


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



