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A335996 Decimal expansion of the number u such that the arclength on y = x^2 from (0,0) to (u, u^2) is 1. 1

%I

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

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

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

%N Decimal expansion of the number u such that the arclength on y = x^2 from (0,0) to (u, u^2) is 1.

%e u = 0.763926663317091041161960918884092435074956...

%t x = x /.FindRoot[1/2 x Sqrt[1 + 4 x^2] + 1/4 ArcSinh[2 x] == 1, {x, 0}, WorkingPrecision -> 200]

%t RealDigits[x][[1]]

%Y Cf. A333202.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Jul 04 2020

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Last modified October 26 06:08 EDT 2021. Contains 348257 sequences. (Running on oeis4.)