A214174 Decimal expansion of Integral_{x=0..oo} x/cosh(Pi*x) dx.

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

Offset: 0

Author

Bruno Berselli, Mar 20 2013

Keywords

• nonn
• cons

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].

Examples

			0.1856134363553860814769819901997199856094304591312932054076019...
		

Links

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

Crossrefs

Cf. A006752, A020761, A020821, A060294, A143233.

Programs

Magma

SetDefaultRealField(RealField(100)); R:=RealField(); 2*Catalan(R)/Pi(R)^2; // G. C. Greubel, Aug 25 2018

Mathematica

RealDigits[2 Catalan/Pi^2, 10, 90][[1]]

PARI

default(realprecision, 100); 2*Catalan/Pi^2 \\ G. C. Greubel, Aug 25 2018

Formula

Equals A060294*A143233 = 2*C/Pi^2, where C is Catalan's constant (A006752).