A241532 Decimal expansion of 2*e^(-2*gamma), gamma being the Euler constant.
6, 3, 0, 4, 7, 3, 5, 0, 3, 3, 7, 4, 3, 8, 6, 7, 9, 6, 1, 2, 2, 0, 4, 0, 1, 9, 2, 7, 1, 0, 8, 7, 8, 9, 0, 4, 3, 5, 4, 5, 8, 7, 0, 7, 8, 7, 1, 2, 7, 3, 2, 3, 4, 1, 5, 7, 3, 8, 1, 7, 9, 8, 3, 7, 0, 8, 9, 7, 0, 0, 0, 3, 8, 2, 9, 9, 5, 8, 1, 9, 1, 1, 0, 1, 8, 9, 9, 5, 4, 1, 6, 5, 7, 8, 1, 7, 1, 9, 0, 9
Offset: 0
Examples
0.6304735033743867961220401927108789...
Links
- D.H. Bailey, J.M. Borwein, R.E. Crandall, Integrals of the Ising class
Programs
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Mathematica
RealDigits[2*E^(-2*EulerGamma), 10, 100] // First
Formula
Limit_{n -> infinity} (2^n/n!)*integral_{0..infinity} p*BesselK(0,p)^n dp. - after Bailey & Borwein.
Equals 2*A080130^2.
Comments