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

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, 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, 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

Offset

0,1

Comments

Decimal expansion of the expected distance from a randomly selected point in the unit cube to its center.

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.1.

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

D. M. Bailey, J. M. Borwein and R. E. Crandall, Box Integrals, J. Comp. Appl. Math., Vol. 206, No. 1 (2007), pp. 196-208, multiply B_3(1) by 24.

Formula

Equals A130590 / 2. - Amiram Eldar, Jun 04 2023

Example

0.4802959782275264797125539756969...

Mathematica

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

Crossrefs

Cf. A130590.

Sequence in context: A070263 A176912 A245295 * A011317 A185578 A087264

Adjacent sequences: A135688 A135689 A135690 * A135692 A135693 A135694

Keyword

nonn,cons

Author

N. J. A. Sloane, Mar 03 2008

Status

approved