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A373020 Decimal expansion of Sum_{k>=0} |sin(k*Pi/6)|/2^k. 1

%I #11 Jul 20 2024 06:49:05

%S 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,

%T 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,

%U 3,8,1,2,2,0,7,7,4,6,0,3,7,6,3,1,9,2

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

%F Equals (5/63)*(5 + 2*sqrt(3)).

%e 0.67175409643950433230594386373109085189568337362069...

%t s = Sum[Abs[Sin[k Pi/6]/2^k], {k, 0, Infinity}]

%t d = N[s, 100]

%t First[RealDigits[d]]

%Y Cf. A373019.

%K nonn,easy,cons

%O 0,1

%A _Clark Kimberling_, Jul 16 2024

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Last modified August 22 21:04 EDT 2024. Contains 375369 sequences. (Running on oeis4.)