cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A117654 Coefficients in an asymptotic expansion for mean distance from origin of a point uniformly distributed over the n-dimensional unit cube [0,1]^n (denominators).

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%I A117654 #14 Feb 16 2025 08:33:00
%S A117654 1,10,280,2800,1232000
%N A117654 Coefficients in an asymptotic expansion for mean distance from origin of a point uniformly distributed over the n-dimensional unit cube [0,1]^n (denominators).
%H A117654 R. S. Anderssen et al., <a href="https://maths-people.anu.edu.au/~brent/pd/rpb033.pdf">Concerning Integral_{0..1} ... Integral_{0..1} (x_1^2+...+x_k^2)^(1/2) dx_1 ... dx_k and a Taylor series method</a>, SIAM J. Appl. Math., 30 (1976), 22-30.
%H A117654 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/HypercubePointPicking.html">Hypercube Point Picking</a>.
%e A117654 (n/3)^(1/2)*(1-n/10 -13n^2/280 - ...)
%Y A117654 Cf. A117653, A254979.
%K A117654 nonn,frac,more
%O A117654 0,2
%A A117654 _N. J. A. Sloane_, Apr 12 2006