A395214 - OEIS

%I #7 Apr 17 2026 09:50:43

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

%T 0,4,5,8,6,7,9,3,4,4,0,3,5,4,6,5,0,9,6,9,4,5,6,9,8,0,3,7,7,6,1,0,7,7,

%U 7,7,0,5,5,8,7,8,7,9,4,4,0,4,7,3,5,5,6,2,4,8,3,4,5,3,9,8,4,7,6,6,6,0,7,6,8

%N Decimal expansion of the probability that the unique circle that passes through three points that are independently and uniformly selected at random in the interior of a cube is entirely contained in that cube.

%C The probability that the three points are collinear (i.e., lie on the same straight line) and do not define a circle is 0.

%H Fernando Affentranger, <a href="https://doi.org/10.1017/s0021900200027406">Random circles in the d-dimensional unit ball</a>, Journal of Applied Probability , Vol. 26, No. 2 (1989), p. 408-412; <a href="https://www.jstor.org/stable/3214047">JSTOR link</a>.

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

%F Equals 12*Pi^2/245.

%e 0.4834091951553971568408730285653625045867934403546509...

%t RealDigits[12*Pi^2/245, 10, 120][[1]]

%o (PARI) 12*Pi^2/245

%Y Cf. A002388, A395207, A395208, A395209, A395210, A395211, A395212, A395213.

%K nonn,cons

%O 0,1

%A _Amiram Eldar_, Apr 16 2026