OFFSET
0,1
LINKS
Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, p. 44.
FORMULA
Also equals Sum_{k >= 1} (-1)^(k-1)/(k*(2^k - 1)).
Equals -log(1-P), where P is the Pell constant from A141848. - Gleb Koloskov, Apr 04 2021
EXAMPLE
0.8688766526585549981531278013138377850925800684998667964...
MATHEMATICA
digits = 103; NSum[Log[1 + 1/2^k], {k, 1, Infinity}, WorkingPrecision -> digits+10, NSumTerms -> 60] // RealDigits[#, 10, digits]& // First
N[-Log[QPochhammer[1/2, 1/4]]] (* Gleb Koloskov, Apr 04 2021 *)
PROG
(PARI) -log(prodinf(n=0, 1-2^(-2*n-1))) \\ Gleb Koloskov, Apr 04 2021
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Sep 03 2014
STATUS
approved