A394834 - OEIS

%I #5 Apr 04 2026 04:52:28

%S 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,

%T 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,

%U 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

%N 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).

%H Franklin Pierce Matz, <a href="https://archive.org/details/mathematicalvis00martgoog/page/n145/mode/1up">Problem 205</a>, The Mathematical Visitor, Vol. 1, No. 4 (1878), p. 117.

%H Enoch Beery Seitz, <a href="https://babel.hathitrust.org/cgi/pt?id=umn.31951000241746i&amp;seq=30">Solution to Problem 205</a>, The Mathematical Visitor, Vol. 2, No. 1 (1882), p. 24-25.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

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

%e 0.060466477212146545299416122724266784127162386631434...

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

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

%Y Cf. A093582, A189511.

%K nonn,cons

%O 0,2

%A _Amiram Eldar_, Apr 04 2026