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 A232814 #15 May 17 2023 08:41:30 %S A232814 4,3,9,3,7,7,5,6,6,2,6,8,4,5,6,9,7,8,9,0,6,0,4,2,7,5,8,1,7,9,1,3,7,1, %T A232814 1,7,5,2,1,5,7,9,0,5,6,6,8,8,3,8,1,1,5,2,3,0,7,1,7,6,7,8,1,1,4,1,5,1, %U A232814 8,0,9,4,9,3,9,4,8,5,8,7,9,8,4,3,7,0,4,6,2,0,3,4,6,1,0,6,1,4,6,2,6,9,2,5,1 %N A232814 Decimal expansion of the minimum surface index of a half-open cylinder. %C A232814 Equivalently, the minimum external surface area among all pots or cups (half-open cylinders) delimiting a unit volume. It is attained when the cylinder is right circular and its height matches the radius of its base. We might call it the 'cooking pot constant'. It minimizes the material needed to make the pot (and also its cooling rate). Its determination is a nice exercise in elementary analysis. %C A232814 For a general definition of surface index, see A232808. %H A232814 Stanislav Sykora, <a href="/A232814/b232814.txt">Table of n, a(n) for n = 1..1000</a> %H A232814 Wikipedia, <a href="http://en.wikipedia.org/wiki/Cylinder_%28geometry%29">Cylinder (geometry)</a>. %F A232814 Equals 3*Pi^(1/3) = 3*A092039. %e A232814 4.3937756626845697890604275817913711752157905668838115230717678... %t A232814 RealDigits[3 * Surd[Pi, 3], 10, 120][[1]] (* _Amiram Eldar_, May 17 2023 *) %Y A232814 Cf. Other surface indices: A232808 (spheres), A232809, A232810, A232811, A232812 (platonic solids), A232813 (closed cylinders), A232815 (closed cones), A232816 (open cones), A232817 (open tubes). %Y A232814 Cf. A092039. %K A232814 nonn,cons,easy %O A232814 1,1 %A A232814 _Stanislav Sykora_, Dec 04 2013