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A333205 Decimal expansion of arclength between inflection points of y = 1/(1 + x^2). 1

%I #4 Jun 14 2020 22:50:25

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

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

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

%N Decimal expansion of arclength between inflection points of y = 1/(1 + x^2).

%e arclength = 1.2764850435772190795057881032652202089789823679976841...

%t s = Integrate[Sqrt[1 + 4 x^2/(1 + x^2)^4], {x, -Sqrt[1/3], Sqrt[1/3]}]

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A333203.

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, Jun 12 2020

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