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.

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, 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, 0, 5, 8, 8, 1, 0, 1, 3, 2, 4, 2, 9, 8, 0, 1, 4, 8, 9, 0

Offset

1,1

Links

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

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

Formula

1/3 + 7007/(1800*Pi^2)

Example

0.72775418543436709139292411039475642544602329673801...

Mathematica

RealDigits[1/3 + 7007/(1800*Pi^2), 10, 100][[1]]

Prog

(PARI) 1/3 + 7007/(1800*Pi^2) \\ Altug Alkan, Mar 28 2018

Crossrefs

Cf. A301862, A301863, A301865.

Sequence in context: A242021 A096052 A003677 * A295421 A217172 A248791

Adjacent sequences: A301861 A301862 A301863 * A301865 A301866 A301867

Keyword

nonn,cons

Author

Amiram Eldar, Mar 28 2018

Status

approved