OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.6 Otter's Tree Enumeration Constants, p. 311.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Helmut Prodinger, Philippe Flajolet and the Register function
Helmut Prodinger, Introduction to Philippe Flajolet’s work on the Register function.
FORMULA
d_0 = 1/2 - gamma/(2*log(2)) - 1/log(2) + log(Pi)/log(2), where gamma is Euler's constant (gamma ~ 0.577216).
EXAMPLE
0.29242799994492181536014585440205743001061520709689154445559...
MATHEMATICA
d0 = 1/2 - EulerGamma/(2*Log[2]) - 1/Log[2] + Log[2, Pi]; RealDigits[d0, 10, 103] // First
PROG
(PARI) default(realprecision, 100); 1/2 - Euler/(2*log(2)) - 1/log(2) + log(Pi)/log(2) \\ G. C. Greubel, Sep 06 2018
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 1/2 - EulerGamma(R)/(2*Log(2)) - 1/Log(2) + Log(Pi(R))/Log(2); // G. C. Greubel, Sep 06 2018
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jul 15 2014
STATUS
approved