A373020 Decimal expansion of Sum_{k>=0} |sin(k*Pi/6)|/2^k.

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

Links

Table of n, a(n) for n=0..85.

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

Adjacent sequences: A373017 A373018 A373019 * A373021 A373022 A373023

Keyword

nonn,easy,cons

Author

Clark Kimberling, Jul 16 2024

Status

approved