A307029 Decimal expansion of the average distance of a point from a line that passes through another 2 points, when the 3 points are randomly selected within a unit-radius disk.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Roger Pinkham, Problem 10585, The American Mathematical Monthly, Vol. 104, No. 5 (1997), pp. 456, solution, by Richard Holzsager, Vol. 106, No. 2 (1999), pp. 171-172.

Formula

Equals 8192/(1575*Pi^2).

Example

0.526998816760654618202070198485135757399687036263519...

Mathematica

RealDigits[8192/(1575*Pi^2), 10, 100][[1]]

Crossrefs

Cf. A093070, A130203, A130204, A245684.

Sequence in context: A321074 A318384 A091660 * A292580 A301914 A180706

Adjacent sequences: A307026 A307027 A307028 * A307030 A307031 A307032

Keyword

nonn,cons

Author

Amiram Eldar, Mar 20 2019

Status

approved