A334962 - OEIS

A334962

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

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..86.

FORMULA

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

EXAMPLE

distance = 1.6176681597497321433385082164856117489...

MATHEMATICA

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

RealDigits[r][[1]]