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 A381693 #8 Mar 09 2025 18:18:54 %S A381693 9,0,3,1,7,0,7,9,2,5,3,4,8,6,9,3,3,1,1,1,5,3,6,9,1,7,3,6,9,1,3,4,4,4, %T A381693 9,4,7,9,6,2,9,5,5,8,3,5,2,4,4,8,0,2,3,1,9,2,2,1,5,6,9,7,1,9,5,1,6,3, %U A381693 6,0,7,8,3,0,3,2,4,1,2,9,2,7,1,1,1,1,8,4,0,1 %N A381693 Decimal expansion of the isoperimetric quotient of a truncated icosahedron. %C A381693 For the definition of isoperimetric quotient of a solid, references and links, see A381684. %H A381693 Paolo Xausa, <a href="/A381693/b381693.txt">Table of n, a(n) for n = 0..10000</a> %H A381693 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A381693 Equals 36*Pi*A377751^2/(A377750^3). %F A381693 Equals (Pi/12)*(125 + 43*sqrt(5))^2/((10*sqrt(3) + sqrt(5*(5 + 2*sqrt(5))))^3) = A019679*(125 + 43*A002163)^2/((10*A002194 + sqrt(5*(5 + A010476)))^3). %e A381693 0.90317079253486933111536917369134449479629558352448... %t A381693 First[RealDigits[Pi/12*(125 + 43*Sqrt[5])^2/(Sqrt[300] + Sqrt[25 + Sqrt[500]])^3, 10, 100]] %Y A381693 Cf. A377750 (surface area), A377751 (volume). %Y A381693 Cf. A019679, A002163, A002194, A010476, A381684. %K A381693 nonn,cons,easy %O A381693 0,1 %A A381693 _Paolo Xausa_, Mar 08 2025