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A135691 Decimal expansion of (6*sqrt(3)+12*log(2+sqrt(3))-Pi)/48. 3

%I

%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 S. 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="http://crd.lbl.gov/~dhbailey/dhbpapers/BoxIntegral.pdf">Box Integrals</a>, J. Comp. Appl. Math. vol. 206, no 1 (2007) 196, multiply B_3(1) by 24.

%e 0.4802959782275264797125539756969...

%t RealDigits[(6Sqrt[3]+12Log[2+Sqrt[3]]-Pi)/48,10,120][[1]] (* _Harvey P. Dale_, Jan 30 2013 *)

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Mar 03 2008

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Last modified July 24 05:21 EDT 2019. Contains 325290 sequences. (Running on oeis4.)