A373165 - OEIS

%I #5 Jul 25 2024 14:07:18

%S 1,1,8,1,4,6,0,2,9,6,0,4,7,8,8,1,0,8,6,8,8,0,8,5,1,7,8,2,2,9,8,6,5,7,

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

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

%N Decimal expansion of 1/(5 + 2*sqrt(3)).

%F Equals Sum_{k>=0} sin(5k*Pi/6)/2^k.

%e 0.11814602960478810868808517822986578970110...

%t s = Sum[Sin[5 k Pi/6]/2^k, {k, 0, Infinity}]

%t d = N[s, 100]

%t First[RealDigits[d]]

%t N[1/(5 + 2 Sqrt[3]), 100]

%Y Cf. A372912, A372913, A373166.

%K nonn,cons

%O 0,3

%A _Clark Kimberling_, Jul 22 2024