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A372912 Decimal expansion of (2/7)*sqrt(3). 5

%I #11 Jul 08 2024 08:53:39

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

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

%U 6,5,7,6,2,5,9,6,5,7,1,5,3,4,5,1,7,5

%N Decimal expansion of (2/7)*sqrt(3).

%F Equals Sum_{k>=0} tan(k*Pi/3)/2^k.

%e 0.494871659305393512436413240430249247697944358...

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

%t d = N[s, 100]

%t First[RealDigits[d]]

%t N[(2 Sqrt[3])/7, 100]

%o (Python)

%o from math import isqrt

%o def A372912(n): return isqrt(12*10**(n+1<<1)//49)%10 # _Chai Wah Wu_, Jul 08 2024

%Y Cf. A372913, A372914.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Jul 01 2024

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Last modified July 28 00:45 EDT 2024. Contains 374674 sequences. (Running on oeis4.)