OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
Eric Weisstein's MathWorld, Mersenne Prime
Marek Wolf, "Continued fractions constructed from prime numbers" arXiv:1003.4015 [math.NT] Sep 26 2010, p. 24.
FORMULA
c = 1/(2^(e^(-gamma))-1), where gamma is Euler's constant 0.5772...
EXAMPLE
2.1018939453352041890527971856880849019959920074584239...
MATHEMATICA
c = 1/(2^(E^(-EulerGamma)) - 1); RealDigits[c, 10, 99] // First
PROG
(PARI) 1/(2^(exp(-Euler))-1) \\ Michel Marcus, Sep 25 2014
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 1/(2^(Exp(-EulerGamma(R))) - 1); // G. C. Greubel, Sep 04 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 25 2014
STATUS
approved