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.
%I A242588 #22 Feb 16 2025 08:33:22 %S A242588 1,8,8,2,3,1,2,6,4,4,3,8,9,6,6,0,1,6,0,1,0,5,6,0,0,8,3,8,8,6,8,3,6,7, %T A242588 5,8,7,8,5,2,4,6,2,8,8,0,3,1,0,7,0,7,9,6,0,5,5,2,9,3,2,3,1,4,5,7,7,2, %U A242588 1,0,3,7,9,6,1,0,6,0,3,5,8,1,2,7,2,3,9,9,9,9,1,4,8,4,5,6,2,0,4,2 %N A242588 Decimal expansion of the expected reciprocal Euclidean distance between two random points in the unit cube. %D A242588 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.1, p. 480. %H A242588 D. H. Bailey, J. M. Borwein, R. E. Crandall, <a href="http://dx.doi.org/10.1090/S0025-5718-10-02338-0">Advances in the theory of box integrals</a> Math. Comp. 79 (2010), 1839-1866, p. 24. %H A242588 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/CubePointPicking.html">Cube Point Picking</a> %F A242588 Integral over a unit cube of 1/sqrt((r1-q1)^2 + (r2-q2)^2 + (r3-q3)^2) dr1 dr2 dr3 dq1 dq2 dq3 = 2*(1/5*(sqrt(2) + 1 - 2*sqrt(3)) - log((sqrt(2) - 1)*(2 - sqrt(3))) - Pi/3). %e A242588 1.88231264438966016010560083886836758785246288... %t A242588 2*(1/5*(Sqrt[2] + 1 - 2*Sqrt[3]) - Log[(Sqrt[2] - 1)*(2 - Sqrt[3])] - Pi/3) // RealDigits[#, 10, 100]& // First %Y A242588 Cf. A073012, A097047, A135691. %K A242588 nonn,cons %O A242588 1,2 %A A242588 _Jean-François Alcover_, May 20 2014