OFFSET
1,3
FORMULA
Equals Sum_{k>=0} 1/(F(2^k-1) + r*F(2^k)), where r = golden ratio and F = A000045 (Fibonacci numbers).
EXAMPLE
1.167637579159452929183950302006670871756901438...
First 4 terms: 1/r + 1/r^2 + 1/r^4 + 1/r^8.
MATHEMATICA
RealDigits[N[Sum[GoldenRatio^(-2^k), {k, 0, 25}], 130]][[1]]
PROG
(PARI) suminf(x=0, ((sqrt(5)+1)/2)^(-2^x)) \\ Michel Marcus, May 02 2015
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, May 01 2015
STATUS
approved