A324558 Decimal expansion of the probability that the length of a chord drawn through 2 points taken at random within a circle will be less than the radius.

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

Offset

-1,3

Links

Table of n, a(n) for n=-1..85.

W. J. Miller, Problem 1818, solved by J. J. Sylvester, Mathematical Questions with Their Solutions: From the "Educational Times", Vol. 5 (1868), pp. 20-21.

Formula

Equals 1/3 - 7*sqrt(3)/(12*Pi).

Example

0.0117248110039546377850595426507678258515245531194596...

Mathematica

RealDigits[1/3-7*Sqrt[3]/(12*Pi), 10, 100][[1]]

Crossrefs

Cf. A102519, A240935, A324559.

Sequence in context: A021142 A126561 A306858 * A246508 A371529 A144875

Adjacent sequences: A324555 A324556 A324557 * A324559 A324560 A324561

Keyword

nonn,cons

Author

Amiram Eldar, Mar 06 2019

Status

approved