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Decimal expansion of arclength between (0,0) and (Pi/3,sqrt(3)) on y = tan x.
1

%I #5 Jun 15 2020 13:38:54

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

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

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

%N Decimal expansion of arclength between (0,0) and (Pi/3,sqrt(3)) on y = tan x.

%e arclength = 2.056999740078724233251017930691409549645541986...

%t s = Integrate[Sqrt[1 + D[Tan[x], x]^2], {x, 0, Pi/3}]

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A332633, A334843.

%K nonn,cons,easy

%O 1,1

%A _Clark Kimberling_, Jun 15 2020