A394835 Decimal expansion of the mean area of triangle formed by three points independently and uniformly selected at random in a unit half-disk.

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

Offset

0,2

Links

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

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/(24*Pi) - 32/(3*Pi^3).

Example

0.120185550063900178025409081158487544274498381169898...

Mathematica

RealDigits[35/(24*Pi) - 32/(3*Pi^3), 10, 120][[1]]

Prog

(PARI) 35/(24*Pi) - 32/(3*Pi^3)

Crossrefs

Cf. A093582, A189511.

Sequence in context: A335095 A387516 A344069 * A337444 A340556 A201637

Adjacent sequences: A394832 A394833 A394834 * A394836 A394837 A394838

Keyword

nonn,cons

Author

Amiram Eldar, Apr 04 2026

Status

approved