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 A381686 #8 Mar 05 2025 09:26:12 %S A381686 6,1,3,0,2,8,2,1,1,0,7,9,2,8,0,3,2,1,1,0,2,4,0,5,5,8,1,4,4,7,1,4,0,7, %T A381686 9,7,0,8,9,7,6,1,6,9,2,2,3,9,3,3,1,6,9,9,2,7,7,8,9,4,8,9,0,5,8,5,7,3, %U A381686 9,4,5,9,1,5,0,4,0,5,8,4,7,3,7,6,9,2,7,7,8,3 %N A381686 Decimal expansion of the isoperimetric quotient of a truncated cube. %C A381686 For the definition of isoperimetric quotient of a solid, references and links, see A381684. %H A381686 Paolo Xausa, <a href="/A381686/b381686.txt">Table of n, a(n) for n = 0..10000</a> %F A381686 Equals 36*Pi*A377299^2/(A377298^3). %F A381686 Equals 49*Pi*(17 + 12*sqrt(2))/(2*(6 + 6*sqrt(2) + sqrt(3))^3) = 49*A000796*A156164/(2*(6 + A010524 + A002194)^3). %e A381686 0.61302821107928032110240558144714079708976169223933... %t A381686 First[RealDigits[49*Pi*(17 + 12*Sqrt[2])/(2*(6 + 6*Sqrt[2] + Sqrt[3])^3), 10, 100]] %Y A381686 Cf. A377298 (surface area), A377299 (volume). %Y A381686 Cf. A000796, A002194, A010524, A156164, A381684. %K A381686 nonn,cons,easy %O A381686 0,1 %A A381686 _Paolo Xausa_, Mar 04 2025