OFFSET
0,1
FORMULA
Equals Sum_{k>=0} |sin(k*Pi/4)|/2^k.
EXAMPLE
0.738071187457698349600562908069899359523223958458...
MATHEMATICA
s = Sum[Abs[Sin[k Pi/4]]/2^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[(1/15) (4 + 5 Sqrt[2]), 100]
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Jun 07 2024
STATUS
approved