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A333204 Decimal expansion of arclength from (0,0) to (1,1) on y = x^4. 2

%I #4 Jun 14 2020 22:50:15

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

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

%U 0,1,1,8,4,5,6,9,3,0,3,6,3,1,6,2,0,2

%N Decimal expansion of arclength from (0,0) to (1,1) on y = x^4.

%F arclength = 2F1(-1/2;1/6;7/6;-16), where 2F1 is the hypergeometric function.

%e arclength = 1.60022942767220583728997791564995...

%t s = Integrate[Sqrt[1 + 16 x^6], {x, 0, 1}]

%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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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)