cp's OEIS Frontend

A301864 Decimal expansion of the probability of intersection of 2 random chords in a sphere when they are projected onto a plane that passes the center, where each chord is selected by 2 random points within the sphere.

%I A301864 #11 Apr 09 2018 10:05:39
%S A301864 7,2,7,7,5,4,1,8,5,4,3,4,3,6,7,0,9,1,3,9,2,9,2,4,1,1,0,3,9,4,7,5,6,4,
%T A301864 2,5,4,4,6,0,2,3,2,9,6,7,3,8,0,1,7,5,3,7,6,4,5,1,0,1,3,8,1,3,7,9,1,5,
%U A301864 0,5,8,8,1,0,1,3,2,4,2,9,8,0,1,4,8,9,0
%N A301864 Decimal expansion of the probability of intersection of 2 random chords in a sphere when they are projected onto a plane that passes the center, where each chord is selected by 2 random points within the sphere.
%H A301864 Herbert Solomon, <a href="https://archive.org/stream/GeometricProbability/Geometric_Probability-Solomon#page/n161/mode/2up">Geometric Probability</a>, SIAM, 1978, p. 153.
%F A301864 1/3 + 7007/(1800*Pi^2)
%e A301864 0.72775418543436709139292411039475642544602329673801...
%t A301864 RealDigits[1/3 + 7007/(1800*Pi^2), 10, 100][[1]]
%o A301864 (PARI) 1/3 + 7007/(1800*Pi^2) \\ _Altug Alkan_, Mar 28 2018
%Y A301864 Cf. A301862, A301863, A301865.
%K A301864 nonn,cons
%O A301864 1,1
%A A301864 _Amiram Eldar_, Mar 28 2018