A334844 - OEIS

%I #4 Jun 15 2020 13:39:08

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

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

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

%N Decimal expansion of arclength between (0,0) and (1,sin 1) on y = sin x.

%F arclength = sqrt(2)*E(1,1/2), where E = elliptic integral of the second kind.

%e arclength = 1.311442498215547045545494653761965117948990...

%t s = Integrate[Sqrt[1 + D[Sin[x], x]^2], {x, 0, 1}]

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A334843.

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, Jun 15 2020