OFFSET
0,1
COMMENTS
This is the value of the g.f. of A010060 at x = 1/2. This number is transcendental.
LINKS
Eric Weisstein's World of Mathematics, Thue-Morse Constant
FORMULA
EXAMPLE
Equals 2^(-1) + 2^(-2) + 2^(-4) + 2^(-7) + ... = 0.11010011001011010..._2 = 0.82490806728021519...
MATHEMATICA
P = FromDigits[{ThueMorse /@ Range[0, 400], 0}, 2];
RealDigits[2P, 10, 105][[1]] (* Jean-François Alcover, Apr 21 2021 *)
PROG
(PARI) 1-prodinf(n=0, 1-1.>>2^n)/2
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jianing Song, Oct 27 2018
STATUS
approved