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 A254968 #16 Feb 16 2025 08:33:24 %S A254968 1,1,9,0,0,3,8,6,8,1,9,8,9,7,7,6,7,5,3,3,2,1,9,0,8,6,7,5,1,4,2,0,7,6, %T A254968 9,4,4,9,9,1,1,8,0,6,0,7,3,5,7,4,9,8,2,6,4,4,0,8,9,7,2,2,3,7,3,0,3,7, %U A254968 3,6,1,7,6,5,5,3,1,1,3,7,1,4,4,5,4,3,1,9,8,1,3,8,3,9,6,2,3,4,0,8,3,3,9,1,6 %N A254968 Decimal expansion of the mean reciprocal Euclidean distance from a point in a unit cube to a given vertex of the cube (named B_3(-1) in Bailey's paper). %H A254968 D. H. Bailey, J. M. Borwein and R. E. Crandall, <a href="https://doi.org/10.1016/j.cam.2006.06.010">Box Integrals</a>, J. Comp. Appl. Math., Vol. 206, No. 1 (2007), pp. 196-208. %H A254968 D. H. Bailey, J. M. Borwein, and 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 (271) (2010) 1839-1866, Table 2. %H A254968 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/BoxIntegral.html">Box Integral</a>. %F A254968 Equals B_3(-1) = (3/2)*log(2 + sqrt(3)) - Pi/4. %F A254968 Equals log(7 + 4*sqrt(3)) - Pi/4 - arcsinh(1/sqrt(2)). %e A254968 1.1900386819897767533219086751420769449911806073574982644... %t A254968 RealDigits[(3/2)*Log[2 + Sqrt[3]] - Pi/4, 10, 105] // First %Y A254968 Cf. A130590, A244920, A244921. %K A254968 nonn,cons,easy %O A254968 1,3 %A A254968 _Jean-François Alcover_, Feb 11 2015 %E A254968 Name corrected by _Amiram Eldar_, Jun 04 2023