A394839 Decimal expansion of the probability that the distance between two points chosen independently and uniformly at random from a half-disk is less than the radius.

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

Offset

0,1

Links

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

Enoch Beery Seitz,Solution to Problem 10687, Mathematical Questions with Their Solutions, from the "Educational Times", Vol. 55 (1891), p. 179.

Index entries for transcendental numbers.

Formula

Equals 4/3 - sqrt(3)/Pi.

Equals 2*A258147.

Equals (4/3)*A102519.

Example

0.782004437911541283822006835020363891935946852966692...

Mathematica

RealDigits[4/3 - Sqrt[3]/Pi, 10, 120][[1]]

Prog

(PARI) 4/3 - sqrt(3)/Pi

Crossrefs

Cf. A102519, A130203, A258147, A394838.

Sequence in context: A216207 A171274 A378350 * A126625 A154169 A245260

Adjacent sequences: A394836 A394837 A394838 * A394840 A394841 A394842

Keyword

nonn,cons

Author

Amiram Eldar, Apr 04 2026

Status

approved