A130204 - OEIS

%I #11 Jun 25 2021 06:19:25

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

%T 9,1,1,1,7,3,4,7,0,8,9,6,4,4,3,0,9,6,8,4,3,9,2,2,4,1,1,2,7,3,0,7,7,0,

%U 9,4,2,2,0,9,8,7,0,2,7,7,4,6,1,6,8,3,7,7,3,0,2,4,4,2,3,8,3,9,0,2,7,4,0,1,3

%N Decimal expansion of the mean distance between two points picked at random in a quarter-disk.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CircularSectorLinePicking.html">Circular Sector Line Picking</a>.

%F Equals (32*(3 - 94*sqrt(2) + 48*Pi + 6*log(-2 + 2*sqrt(2))))/(135*Pi^2).

%e 0.47387726224232582979...

%t RealDigits[32*(3 - 94*Sqrt[2] + 48*Pi + 6*Log[2*(Sqrt[2]-1)])/(135*Pi^2), 10, 100][[1]] (* _Amiram Eldar_, Jun 25 2021 *)

%o (PARI) (32*(3 - 94*sqrt(2) + 48*Pi + 6*log(-2 + 2*sqrt(2))))/(135*Pi^2) \\ _Michel Marcus_, Jun 25 2021

%Y Cf. A093070, A130203.

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, May 16 2007