A373019 Decimal expansion of Sum_{k>=0} sin(k*Pi/6)/2^k.

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

Links

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

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

Adjacent sequences: A373016 A373017 A373018 * A373020 A373021 A373022

Keyword

nonn,easy,cons

Author

Clark Kimberling, Jul 16 2024

Status

approved