A144665 Decimal expansion of product_{n=2..infinity} (n^6-1)/(n^6+1).

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

Offset: 0

Author

R. J. Mathar, Feb 01 2009

Keywords

• nonn
• cons

Examples

			0.96590608576215921215...
		

Links

• J. Borwein et al., Experimentation in Mathematics, 2004, section 1.2.
• E. W. Weisstein, Infinite Product, MathWorld.

Crossrefs

Cf. A090986.

Programs

Mathematica

RealDigits[ -((Pi*(1 + Cosh[Sqrt[3]*Pi])*Csch[Pi])/(3*(Cos[Sqrt[3]*Pi] - Cosh[Pi]))), 10, 105] // First (* Jean-François Alcover, Feb 11 2013 *)

PARI

Pi*(cosh(sqrt(3)*Pi)+1)/sinh(Pi)/(cosh(Pi)-cos(sqrt(3)*Pi))/3 \\ - M. F. Hasler, Feb 23 2013

Formula

c=(Pi/3)*(cosh(sqrt(3)*Pi)+1)/(sinh(Pi)*(cosh(Pi)-cos(sqrt(3)*Pi))).