OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.14 Digital Search Tree Constants, p. 355.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Tree Searching
FORMULA
1/2 + gamma/log(2) - alpha, where gamma is Euler's constant and alpha is the Erdős-Borwein constant (A065442). - Jean-François Alcover, Jul 29 2014, after Steven Finch
EXAMPLE
-0.273948975138424613136884003782809045318148140...
MATHEMATICA
digits = 102; alpha = NSum[1/(2^k-1), {k, 1, 500}, NSumTerms -> 100, WorkingPrecision -> digits+10]; RealDigits[1/2 + EulerGamma/Log[2] - alpha, 10, digits] // First (* Jean-François Alcover, Jul 29 2014 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 15 2003
STATUS
approved