A395134 Decimal expansion of the probability that the line that passes through two points selected independently and uniformly at random in a half-disk intersects the arc at two points.

4, 5, 9, 6, 2, 0, 3, 5, 3, 9, 0, 7, 5, 3, 1, 8, 8, 5, 6, 3, 2, 6, 4, 2, 8, 6, 2, 8, 8, 1, 4, 5, 2, 5, 9, 2, 5, 1, 0, 0, 8, 6, 5, 3, 5, 0, 8, 1, 3, 5, 1, 7, 3, 9, 4, 9, 0, 0, 8, 5, 1, 6, 3, 2, 3, 1, 0, 7, 6, 6, 8, 8, 2, 0, 1, 4, 1, 0, 9, 8, 0, 3, 1, 3, 5, 5, 0, 5, 3, 9, 0, 6, 3, 3, 5, 0, 1, 9, 9, 3, 9, 4, 0, 1, 4

Offset

0,1

Links

Table of n, a(n) for n=0..104.

George B. McClellan Zerr, Solution to Problem 11134, Mathematical questions and solutions from the "Educational Times", Vol. 55 (1891), p. 161.

Index entries for transcendental numbers.

Formula

Equals 1 - 16/(3*Pi^2).

Example

0.459620353907531885632642862881452592510086535081351...

Mathematica

RealDigits[1 - 16/(3*Pi^2), 10, 120][[1]]

Prog

(PARI) 1 - 16/(3*Pi^2)

Crossrefs

Cf. A217739, A395135, A395136, A395137.

Sequence in context: A371336 A016722 A030139 * A356509 A371936 A069228

Adjacent sequences: A395131 A395132 A395133 * A395135 A395136 A395137

Keyword

nonn,cons

Author

Amiram Eldar, Apr 13 2026

Status

approved