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.

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).

This page as a plain text file.
%I A117653 #12 Feb 16 2025 08:33:00
%S A117653 1,-1,-13,-101,-37533
%N 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).
%H A117653 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 A117653 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/HypercubePointPicking.html">Hypercube Point Picking</a>.
%e A117653 (n/3)^(1/2)*(1-n/10 -13n^2/280 - ...)
%Y A117653 Cf. A117654, A254979.
%K A117653 sign,frac,more
%O A117653 0,3
%A A117653 _N. J. A. Sloane_, Apr 12 2006