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, p. 479.

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 *)

Prog

(PARI) (6*sqrt(3)+12*log(2+sqrt(3))-Pi)/48 \\ Stefano Spezia, Dec 21 2024

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