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

1,1

Links

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

Herbert Solomon, Geometric Probability, SIAM, 1978, p. 153.

Formula

1/3 + 245/(72*Pi^2)

Example

0.67810680544962158338542317342198988238288749714861...

Mathematica

RealDigits[1/3 + 245/(72*Pi^2), 10, 100][[1]]

Prog

(PARI) 1/3 + 245/(72*Pi^2) \\ Altug Alkan, Mar 28 2018

Crossrefs

Cf. A301862, A301864, A301865.

Sequence in context: A347417 A046256 A004495 * A284362 A394809 A229177

Adjacent sequences: A301860 A301861 A301862 * A301864 A301865 A301866

Keyword

nonn,cons

Author

Amiram Eldar, Mar 28 2018

Status

approved