|
|
A214174
|
|
Decimal expansion of Integral_{x=0..oo} x/cosh(Pi*x) dx.
|
|
1
|
|
|
1, 8, 5, 6, 1, 3, 4, 3, 6, 3, 5, 5, 3, 8, 6, 0, 8, 1, 4, 7, 6, 9, 8, 1, 9, 9, 0, 1, 9, 9, 7, 1, 9, 9, 8, 5, 6, 0, 9, 4, 3, 0, 4, 5, 9, 1, 3, 1, 2, 9, 3, 2, 0, 5, 4, 0, 7, 6, 0, 1, 9, 1, 9, 3, 9, 1, 1, 2, 6, 1, 2, 1, 2, 8, 7, 5, 7, 7, 7, 5, 1, 7, 9, 1, 7, 2, 7
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
This sequence is between A020761 [Integral_{x=0..oo} x^0/cosh(Pi*x) dx] and A020821 [Integral_{x=0..oo} x^2/cosh(Pi*x) dx].
|
|
LINKS
|
|
|
FORMULA
|
|
|
EXAMPLE
|
0.1856134363553860814769819901997199856094304591312932054076019...
|
|
MATHEMATICA
|
RealDigits[2 Catalan/Pi^2, 10, 90][[1]]
|
|
PROG
|
(PARI) default(realprecision, 100); 2*Catalan/Pi^2 \\ G. C. Greubel, Aug 25 2018
(Magma) SetDefaultRealField(RealField(100)); R:=RealField(); 2*Catalan(R)/Pi(R)^2; // G. C. Greubel, Aug 25 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|