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A301862
Decimal expansion of the probability of intersection of 2 random chords in a circle, where each chord is selected by a random point within the circle and a random direction.
3
5, 8, 6, 6, 3, 6, 2, 9, 2, 4, 3, 9, 1, 7, 7, 7, 6, 1, 9, 4, 3, 0, 3, 1, 9, 9, 1, 3, 5, 7, 6, 5, 2, 4, 3, 0, 5, 9, 4, 2, 3, 0, 2, 7, 0, 0, 1, 3, 9, 4, 9, 7, 0, 5, 4, 4, 7, 3, 5, 5, 9, 1, 3, 0, 6, 8, 7, 6, 6, 1, 3, 5, 7, 3, 8, 9, 2, 1, 9, 3, 6, 3, 1, 1, 3, 5, 6
OFFSET
1,1
LINKS
Herbert Solomon, Geometric Probability, SIAM, 1978, p. 152.
FORMULA
Equals 1/3 + 5/(2*Pi^2).
EXAMPLE
0.58663629243917776194303199135765243059423027001394...
MATHEMATICA
RealDigits[1/3 + 5/(2*Pi^2), 10, 100][[1]]
PROG
(PARI) 1/3 + 5/(2*Pi^2) \\ Altug Alkan, Mar 28 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 28 2018
STATUS
approved