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

%I #4 Jul 19 2024 19:16:25

%S 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,

%T 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,

%U 9,8,6,4,3,8,9,4,8,5,7,3,0,1,7,7,6,3

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

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

%e 0.7423074889580902686546198606453738715469165373...

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

%t d = N[s, 100]

%t First[RealDigits[d]]

%Y Cf. A373021.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Jul 16 2024