%I #16 Jun 04 2023 01:42:12
%S 4,8,0,2,9,5,9,7,8,2,2,7,5,2,6,4,7,9,7,1,2,5,5,3,9,7,5,6,9,6,9,0,3,1,
%T 8,0,1,2,0,4,8,8,4,5,3,7,7,2,8,6,1,9,9,3,8,4,5,4,4,9,2,5,7,6,5,5,1,9,
%U 3,8,3,1,6,7,0,0,8,1,6,4,4,5,1,5,6,1,3,9,6,7,8,4,5,8,8,7,4,1
%N Decimal expansion of (6*sqrt(3) + 12*log(2+sqrt(3)) - Pi)/48.
%C Decimal expansion of the expected distance from a randomly selected point in the unit cube to its center.
%D Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.1.
%H G. C. Greubel, <a href="/A135691/b135691.txt">Table of n, a(n) for n = 0..5000</a>
%H D. M. Bailey, J. M. Borwein and R. E. Crandall, <a href="https://doi.org/10.1016/j.cam.2006.06.010">Box Integrals</a>, J. Comp. Appl. Math., Vol. 206, No. 1 (2007), pp. 196-208, multiply B_3(1) by 24.
%F Equals A130590 / 2. - _Amiram Eldar_, Jun 04 2023
%e 0.4802959782275264797125539756969...
%t RealDigits[(6Sqrt[3]+12Log[2+Sqrt[3]]-Pi)/48,10,120][[1]] (* _Harvey P. Dale_, Jan 30 2013 *)
%Y Cf. A130590.
%K nonn,cons
%O 0,1
%A _N. J. A. Sloane_, Mar 03 2008
|