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Decimal expansion of arclength between (0,1) and (1,sqrt(2)) on y^2 - x^2 = 1.
1

%I #7 Sep 30 2022 20:43:42

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

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

%U 7,7,2,6,6,4,7,6,2,6,5,2,7,6,0,0,4,7

%N Decimal expansion of arclength between (0,1) and (1,sqrt(2)) on y^2 - x^2 = 1.

%e arclength = 1.099687413739204296413721014223062752214344...

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

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A334847.

%K nonn,cons,easy

%O 1,3

%A _Clark Kimberling_, Jun 15 2020