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 A381671 #12 Mar 05 2025 09:26:29 %S A381671 3,0,2,2,9,9,8,9,4,0,3,9,0,3,6,3,0,8,4,3,2,3,4,6,3,7,6,2,7,3,6,9,2,6, %T A381671 2,2,0,4,7,3,4,4,3,7,4,6,8,2,1,2,3,4,2,9,2,6,1,6,4,7,4,8,9,2,3,1,3,5, %U A381671 3,8,6,3,5,2,1,0,5,8,9,8,0,6,1,4,0,2,0,8,3,1 %N A381671 Decimal expansion of the isoperimetric quotient of a regular tetrahedron. %C A381671 Polya (1954) defines the isoperimetric quotient of a solid as 36*Pi*V^2/(S^3), where V and S are the volume and surface area of the solid, respectively. %C A381671 The isoperimetric quotient of a sphere is 1. %D A381671 George Polya, Mathematics and Plausible Reasoning, Vol. 1: Induction and Analogy in Mathematics, Princeton University Press, Princeton, New Jersey, 1954. See pp. 188-189, exercise 43. %H A381671 Paolo Xausa, <a href="/A381671/b381671.txt">Table of n, a(n) for n = 0..10000</a> %F A381671 Equals Pi/(6*sqrt(3)) = A019673/A002194. %e A381671 0.30229989403903630843234637627369262204734437468212... %t A381671 First[RealDigits[Pi/(6*Sqrt[3]), 10, 100]] %Y A381671 Cf. A273633 (sphericity). %Y A381671 Cf. isoperimetric quotient of other Platonic solids: A019673 (cube), A073010 (octahedron), A374772 (dodecahedron), A381672 (icosahedron). %Y A381671 Cf. A002194, A019673. %K A381671 nonn,cons,easy %O A381671 0,1 %A A381671 _Paolo Xausa_, Mar 03 2025