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