OFFSET
0,1
COMMENTS
Proven to be a transcendental number by Borwein and Coons (2008).
LINKS
Peter Borwein and Michael Coons, Transcendence of the Gaussian Liouville number and relatives, arXiv:0806.1694 [math.NT], 2008.
Michael J. Coons, Some aspects of analytic number theory: parity, transcendence, and multiplicative functions, Ph.D. Thesis, Department of Mathematics, Simon Fraser University, 2009.
FORMULA
Equals Sum_{k>=1} A343785(k)/2^k.
EXAMPLE
0.39725264457801453528444061025296764648419265353335...
MATHEMATICA
f[x_] := x/(x^2 + x + 1); RealDigits[Sum[f[2^(3^n)], {n, 0, 10}], 10, 100][[1]]
CROSSREFS
KEYWORD
AUTHOR
Amiram Eldar, Apr 29 2021
STATUS
approved