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Decimal expansion of arclength between (0,1) and (Pi/4,sqrt(2)) on y = sec x.
0

%I #4 Jun 15 2020 13:39:16

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

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

%U 8,9,2,5,5,3,5,3,8,6,8,6,9,7,4,3,7,0

%N Decimal expansion of arclength between (0,1) and (Pi/4,sqrt(2)) on y = sec x.

%e arclength = 0.9246753483536079599958842623846196965880723284650...

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

%t r = N[s, 200]

%t RealDigits[r][[1]]

%Y Cf. A333202, A332633.

%K nonn,cons,easy

%O 0,1

%A _Clark Kimberling_, Jun 15 2020