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 A093066 #15 Feb 16 2025 08:32:53 %S A093066 9,2,6,3,9,0,0,5,5,1,7,4,0,4,6,7,2,9,2,1,8,1,6,3,5,8,6,5,4,7,7,7,9,0, %T A093066 1,4,4,4,4,9,6,0,1,9,0,1,0,7,3,3,5,0,4,6,7,3,2,5,2,1,9,2,1,2,7,1,4,1, %U A093066 8,5,0,4,5,9,4,0,3,6,6,8,3,8,2,9,3,1,3,4,7,3,0,7,5,3,4,9,9,6,8,2,1,2 %N A093066 Decimal expansion of (4 + 17*sqrt(2) - 6*sqrt(3) - 7*Pi + 21*log(1+sqrt(2)) + 42*log(2+sqrt(3)))/75. %C A093066 Average distance between two points chosen at random on two different faces of a unit cube. %H A093066 G. C. Greubel, <a href="/A093066/b093066.txt">Table of n, a(n) for n = 0..10000</a> %H A093066 D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, <a href="https://www.researchgate.net/publication/228956228_Ten_Problems_in_Experimental_Mathematics">Ten Problems in Experimental Mathematics</a> %H A093066 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CubeLinePicking.html">Cube Line Picking</a> %e A093066 0.926390055... %t A093066 RealDigits[(4 + 17*Sqrt[2] - 6*Sqrt[3] - 7*Pi + 21*Log[1 + Sqrt[2]] + 42*Log[2 + Sqrt[3]])/75, 10, 10001][[1]] (* _G. C. Greubel_, Oct 01 2018 *) %o A093066 (PARI) default(realprecision, 100); (4 + 17*sqrt(2) - 6*sqrt(3) - 7*Pi + 21*log(1 + sqrt(2)) + 42*log(2 + sqrt(3)))/75 \\ _G. C. Greubel_, Oct 01 2018 %o A093066 (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); (4 + 17*Sqrt(2) - 6*Sqrt(3) - 7*Pi(R) + 21*Log(1 + Sqrt(2)) + 42*Log(2 + Sqrt(3)))/75; // _G. C. Greubel_, Oct 01 2018 %Y A093066 Cf. A073012. %K A093066 nonn,cons %O A093066 0,1 %A A093066 _Eric W. Weisstein_, Mar 16 2004