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A334962
Decimal expansion of the distance from (0,0) to the nearest point of intersection of y = sec x and y = csc x.
3
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
OFFSET
1,2
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]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 01 2020
STATUS
approved