OFFSET
0,1
FORMULA
Equals sqrt((5 + sqrt(5)]/(8 + 2 sqrt(5)).
Equals (-1)*Sum_{k>=0} sin(7 k*Pi/5)/2^k.
Minimal polynomial: 5 - 65 x^2 + 121 x^4.
EXAMPLE
0.30501800805463899236580110742909107145...
MATHEMATICA
{b, m, h} = {2, 5, 3}; s = Sum[Sin[ h k Pi/m]/b^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d], 100]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 20 2024
STATUS
approved