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A373165
Decimal expansion of 1/(5 + 2*sqrt(3)).
1
1, 1, 8, 1, 4, 6, 0, 2, 9, 6, 0, 4, 7, 8, 8, 1, 0, 8, 6, 8, 8, 0, 8, 5, 1, 7, 8, 2, 2, 9, 8, 6, 5, 7, 8, 9, 7, 0, 1, 1, 0, 6, 8, 8, 4, 0, 2, 9, 1, 7, 2, 2, 1, 1, 0, 6, 8, 3, 3, 7, 3, 8, 7, 7, 7, 6, 6, 2, 5, 6, 8, 9, 7, 0, 6, 3, 3, 8, 4, 5, 5, 8, 3, 3, 6, 6
OFFSET
0,3
FORMULA
Equals Sum_{k>=0} sin(5k*Pi/6)/2^k.
EXAMPLE
0.11814602960478810868808517822986578970110...
MATHEMATICA
s = Sum[Sin[5 k Pi/6]/2^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
N[1/(5 + 2 Sqrt[3]), 100]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 22 2024
STATUS
approved