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A373020
Decimal expansion of Sum_{k>=0} |sin(k*Pi/6)|/2^k.
1
6, 7, 1, 7, 5, 4, 0, 9, 6, 4, 3, 9, 5, 0, 4, 3, 3, 2, 3, 0, 5, 9, 4, 3, 8, 6, 3, 7, 3, 1, 0, 9, 0, 8, 5, 1, 8, 9, 5, 6, 8, 3, 3, 7, 3, 6, 2, 0, 6, 9, 5, 3, 3, 7, 7, 8, 6, 6, 3, 6, 0, 2, 8, 4, 8, 4, 4, 3, 3, 8, 1, 2, 2, 0, 7, 7, 4, 6, 0, 3, 7, 6, 3, 1, 9, 2
OFFSET
0,1
FORMULA
Equals (5/63)*(5 + 2*sqrt(3)).
EXAMPLE
0.67175409643950433230594386373109085189568337362069...
MATHEMATICA
s = Sum[Abs[Sin[k Pi/6]/2^k], {k, 0, Infinity}]
d = N[s, 100]
First[RealDigits[d]]
CROSSREFS
Cf. A373019.
Sequence in context: A308915 A294644 A256128 * A280501 A244818 A244682
KEYWORD
nonn,easy,cons
AUTHOR
Clark Kimberling, Jul 16 2024
STATUS
approved