%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