A301863 Decimal expansion of the probability of intersection of 2 random chords in a circle, where each chord is selected by 2 random points within the circle.
6, 7, 8, 1, 0, 6, 8, 0, 5, 4, 4, 9, 6, 2, 1, 5, 8, 3, 3, 8, 5, 4, 2, 3, 1, 7, 3, 4, 2, 1, 9, 8, 9, 8, 8, 2, 3, 8, 2, 8, 8, 7, 4, 9, 7, 1, 4, 8, 6, 1, 6, 7, 2, 8, 7, 1, 0, 7, 5, 2, 9, 5, 5, 7, 5, 1, 0, 0, 5, 7, 5, 8, 8, 2, 9, 8, 2, 8, 9, 3, 1, 8, 3, 1, 1, 9, 8
Offset: 1
Examples
0.67810680544962158338542317342198988238288749714861...
Links
- Herbert Solomon, Geometric Probability, SIAM, 1978, p. 153.
Programs
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Mathematica
RealDigits[1/3 + 245/(72*Pi^2), 10, 100][[1]]
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PARI
1/3 + 245/(72*Pi^2) \\ Altug Alkan, Mar 28 2018
Formula
1/3 + 245/(72*Pi^2)