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

Author

N. J. A. Sloane, Mar 03 2008

Keywords

• nonn
• cons

Comments

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

Examples

			0.4802959782275264797125539756969...
		

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.

Crossrefs

Cf. A130590.

Programs

Mathematica

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

PARI

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

Formula

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