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A373019
Decimal expansion of Sum_{k>=0} sin(k*Pi/6)/2^k.
1
6, 5, 1, 0, 8, 4, 7, 3, 9, 6, 2, 5, 9, 8, 1, 1, 2, 2, 0, 8, 1, 1, 4, 5, 5, 9, 1, 0, 0, 0, 9, 0, 3, 4, 4, 1, 0, 6, 8, 1, 2, 3, 8, 8, 5, 2, 0, 1, 5, 9, 7, 0, 1, 9, 7, 0, 0, 8, 9, 3, 3, 8, 1, 4, 5, 4, 1, 4, 3, 5, 4, 1, 0, 6, 2, 8, 9, 2, 3, 1, 3, 3, 9, 7, 0, 9
OFFSET
0,1
FORMULA
Equals (1/13)*(5 + 2*sqrt(3)).
EXAMPLE
0.65108473962598112208114559100090344106812388520...
MATHEMATICA
s = Sum[Sin[k Pi/6]/2^k, {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
CROSSREFS
Cf. A373020.
Sequence in context: A261992 A278760 A199724 * A126743 A046613 A372777
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Jul 16 2024
STATUS
approved