A373018 - OEIS

A373018

Decimal expansion of Sum_{k>=0} |sin(k*Pi/3)|/2^k.

7, 4, 2, 3, 0, 7, 4, 8, 8, 9, 5, 8, 0, 9, 0, 2, 6, 8, 6, 5, 4, 6, 1, 9, 8, 6, 0, 6, 4, 5, 3, 7, 3, 8, 7, 1, 5, 4, 6, 9, 1, 6, 5, 3, 7, 3, 4, 7, 3, 0, 5, 9, 8, 3, 4, 5, 2, 4, 8, 8, 7, 0, 5, 4, 7, 9, 3, 9, 9, 8, 6, 4, 3, 8, 9, 4, 8, 5, 7, 3, 0, 1, 7, 7, 6, 3

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OFFSET

0,1

LINKS

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

FORMULA

Equals (3/7)*sqrt(3).

EXAMPLE

0.7423074889580902686546198606453738715469165373...

MATHEMATICA

s = Sum[Abs[Sin[k Pi/3]]/2^k, {k, 0, Infinity}]

d = N[s, 100]