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Decimal expansion of the distance from (0,0) to the nearest point of intersection of y = sec x and y = csc x.
3

%I #4 Jul 01 2020 22:31:31

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

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

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

%N Decimal expansion of the distance from (0,0) to the nearest point of intersection of y = sec x and y = csc x.

%F (distance, (0,0), (Pi/4, sqrt(2)) = (1/4) sqrt(Pi^2 + 32).

%e distance = 1.6176681597497321433385082164856117489...

%t r = NIntegrate[Sqrt[1 + Cos[t]^2], {t, 0, Pi/4}, WorkingPrecision -> 200]

%t RealDigits[r][[1]]

%Y Cf. A334959, A334960, A334961.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Jul 01 2020