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 A165952 #17 Feb 16 2025 08:33:11 %S A165952 3,6,7,5,5,2,5,9,6,9,4,7,8,6,1,3,6,6,3,4,0,8,8,4,3,3,2,2,0,8,6,4,6,2, %T A165952 9,4,2,6,4,9,2,4,3,2,0,2,4,4,4,2,7,1,0,1,8,6,6,2,4,4,0,1,3,5,2,7,3,5, %U A165952 3,5,3,5,6,4,6,1,7,9,8,6,3,2,2,6,9,2,0,0,1,9,2,1,5,4,4,7,2,5,9,4,7,1,7,9,8 %N A165952 Decimal expansion of 2*sqrt(3)/(3*Pi). %C A165952 The ratio of the volume of a cube to the volume of the circumscribed sphere (which has circumradius a*sqrt(3)/2 = a*A010527, where a is the cube's edge length; see MathWorld link). For similar ratios for other Platonic solids, see A165922, A049541, A165953, and A165954. A063723 shows the order of these by size. %H A165952 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Cube.html">Cube</a>. %H A165952 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A165952 2*sqrt(3)/(3*Pi) = 2*A002194/(3*A000796) = 3*A165922 = (2*sqrt(3)/3)*A049541 = 10*A020832*A049541 = 2*A020760*A049541. %e A165952 0.3675525969478613663408843322086462942649243202444271018662440135273535356... %t A165952 RealDigits[(2*Sqrt[3])/(3Pi),10,120][[1]] (* _Harvey P. Dale_, Oct 08 2012 *) %o A165952 (PARI) 2*sqrt(3)/(3*Pi) %Y A165952 Cf. A000796, A002194, A165922, A049541, A165953, A165954, A063723, A020760, A020832. %K A165952 cons,nonn %O A165952 0,1 %A A165952 _Rick L. Shepherd_, Oct 02 2009