A117653 Coefficients in an asymptotic expansion for mean distance from origin of a point uniformly distributed over the n-dimensional unit cube [0,1]^n (numerators).

1, -1, -13, -101, -37533

Offset

0,3

Links

Table of n, a(n) for n=0..4.

R. S. Anderssen et al., Concerning Integral_{0..1} ... Integral_{0..1} (x_1^2+...+x_k^2)^(1/2) dx_1 ... dx_k and a Taylor series method, SIAM J. Appl. Math., 30 (1976), 22-30.

Eric Weisstein's MathWorld, Hypercube Point Picking.

Example

(n/3)^(1/2)*(1-n/10 -13n^2/280 - ...)

Crossrefs

Cf. A117654, A254979.

Sequence in context: A131021 A332907 A087595 * A004635 A369418 A289420

Adjacent sequences: A117650 A117651 A117652 * A117654 A117655 A117656

Keyword

sign,frac,more

Author

N. J. A. Sloane, Apr 12 2006

Status

approved