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 A333202 Decimal expansion of arclength from (0,0) to (1,1) on y = x^2. 19

%I

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

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

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

%N Decimal expansion of arclength from (0,0) to (1,1) on y = x^2.

%F arclength = (2 sqrt(5) + arcsinh(2))/4.

%F arclength = (2 sqrt(5) + log(2 + sqrt(5)))/4.

%e Equals 1.478942857544597433827906...

%t s = Integrate[Sqrt[1 + 4 x^2], {x, 0, 1}]

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333203, A333204, A335996.

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, May 13 2020

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Last modified September 20 16:50 EDT 2021. Contains 347586 sequences. (Running on oeis4.)