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Decimal expansion of (4 + 5*sqrt(2))/17.
2

%I #6 Jun 07 2024 14:16:12

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

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

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

%N Decimal expansion of (4 + 5*sqrt(2))/17.

%F (4 + 5*sqrt(2))/17 = Sum_{k>=0} sin(k*Pi)/2^k.

%e 0.65123928305091030847108491888520531722637408099322002...

%t s = Sum[Sin[k Pi/4]/2^k, {k, 0, Infinity}]

%t d = N[s, 100]

%t First[RealDigits[d]]

%t N[(1/17) (4 + 5 Sqrt[2]), 100]

%Y Cf. A372778, A372830.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Jun 07 2024