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 A381694 #8 Mar 09 2025 18:19:09 %S A381694 9,3,8,9,9,5,2,7,4,1,1,0,4,5,0,1,4,1,3,4,2,3,7,8,2,3,6,9,8,3,0,2,0,1, %T A381694 2,8,8,3,6,1,0,9,1,2,0,0,7,0,4,6,1,1,8,9,1,5,6,9,6,5,0,2,5,0,6,9,8,8, %U A381694 5,2,2,0,4,4,0,8,8,9,8,8,5,9,2,8,2,1,9,8,2,5 %N A381694 Decimal expansion of the isoperimetric quotient of a (small) rhombicosidodecahedron. %C A381694 For the definition of isoperimetric quotient of a solid, references and links, see A381684. %H A381694 Paolo Xausa, <a href="/A381694/b381694.txt">Table of n, a(n) for n = 0..10000</a> %H A381694 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A381694 Equals 36*Pi*A185093^2/(A344149^3). %F A381694 Equals 4*Pi*(60 + 29*sqrt(5))^2/((30 + 5*sqrt(3) + 3*sqrt(25 + 10*sqrt(5)))^3) = 4*A000796*(60 + 29*A002163)^2/((30 + 5*A002194 + 3*sqrt(25 + 10*A002163))^3). %e A381694 0.93899527411045014134237823698302012883610912007046... %t A381694 First[RealDigits[4*Pi*(60 + 29*Sqrt[5])^2/(30 + Sqrt[75] + 3*Sqrt[25 + Sqrt[500]])^3, 10, 100]] %Y A381694 Cf. A344149 (surface area), A185093 (volume). %Y A381694 Cf. A000796, A002163, A002194, A381684. %K A381694 nonn,cons,easy %O A381694 0,1 %A A381694 _Paolo Xausa_, Mar 08 2025