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 A381691 #7 Mar 09 2025 18:18:10 %S A381691 8,6,0,1,5,1,2,9,1,9,2,9,0,0,5,7,3,6,9,3,4,9,8,8,7,1,7,5,5,1,1,0,4,8, %T A381691 0,7,6,6,8,1,6,4,2,5,3,4,6,3,9,7,9,6,5,5,6,9,0,2,5,9,7,6,2,8,7,5,7,5, %U A381691 0,9,1,7,9,5,8,3,2,0,3,3,6,1,1,4,0,3,1,3,6,0 %N A381691 Decimal expansion of the isoperimetric quotient of an icosidodecahedron. %C A381691 For the definition of isoperimetric quotient of a solid, references and links, see A381684. %H A381691 Paolo Xausa, <a href="/A381691/b381691.txt">Table of n, a(n) for n = 0..10000</a> %H A381691 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A381691 Equals 36*Pi*A179450^2/(A179451^3). %F A381691 Equals Pi*(765 + 347*sqrt(5))/(15*sqrt(6)*(10 + 3*sqrt(5) + sqrt(75 + 30*sqrt(5)))^(3/2)) = A000796*(765 + 347*A002163)/(15*A010464*(10 + 3*A002163 + sqrt(75 + 30*A002163))^(3/2)). %e A381691 0.86015129192900573693498871755110480766816425346... %t A381691 First[RealDigits[Pi*(765 + 347*#)/(15*Sqrt[6]*(10 + 3*# + Sqrt[75 + 30*#])^(3/2)) & [Sqrt[5]], 10, 100]] %Y A381691 Cf. A179451 (surface area), A179450 (volume). %Y A381691 Cf. A000796, A002163, A010464, A381684. %K A381691 nonn,cons,easy %O A381691 0,1 %A A381691 _Paolo Xausa_, Mar 07 2025