%I #7 Jun 09 2024 08:35:29

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

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

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

%N Decimal expansion of (4 + 5*sqrt(2))/15.

%F Equals Sum_{k>=0} |sin(k*Pi/4)|/2^k.

%e 0.738071187457698349600562908069899359523223958458...

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

%t d = N[s, 100]

%t First[RealDigits[d]]

%t N[(1/15) (4 + 5 Sqrt[2]), 100]

%Y Cf. A372777, A372831.

%K nonn,cons,easy

%O 0,1

%A _Clark Kimberling_, Jun 07 2024