A135691 - OEIS

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

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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