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.

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

Table of n, a(n) for n=1..87.

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

Cf. A060294, A301863, A301864, A301865.

Sequence in context: A199265 A239382 A085117 * A245944 A160043 A322633

Adjacent sequences: A301859 A301860 A301861 * A301863 A301864 A301865

Keyword

nonn,cons

Author

Amiram Eldar, Mar 28 2018

Status

approved