A394834 Decimal expansion of the mean area of triangle formed by three points independently and uniformly selected at random in a unit quadrant (quarter of a disk).

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

Offset

0,2

Links

Table of n, a(n) for n=0..105.

Franklin Pierce Matz, Problem 205, The Mathematical Visitor, Vol. 1, No. 4 (1878), p. 117.

Enoch Beery Seitz, Solution to Problem 205, The Mathematical Visitor, Vol. 2, No. 1 (1882), p. 24-25.

Index entries for transcendental numbers.

Formula

Equals 35/(12*Pi) + 16/(3*Pi^2) - 131/(3*Pi^3).

Example

0.060466477212146545299416122724266784127162386631434...

Mathematica

RealDigits[35/(12*Pi) + 16/(3*Pi^2) - 131/(3*Pi^3), 10, 120, -1][[1]]

Prog

(PARI) 35/(12*Pi) + 16/(3*Pi^2) - 131/(3*Pi^3)

Crossrefs

Cf. A093582, A189511.

Sequence in context: A021947 A073010 A100120 * A132709 A197148 A196623

Adjacent sequences: A394831 A394832 A394833 * A394835 A394836 A394837

Keyword

nonn,cons

Author

Amiram Eldar, Apr 04 2026

Status

approved