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 A381696 #8 Mar 10 2025 11:02:05 %S A381696 9,4,6,9,9,9,0,4,5,2,3,4,2,1,5,6,2,6,1,8,4,5,4,4,1,2,8,7,7,0,8,7,4,7, %T A381696 0,5,5,0,4,7,9,6,7,3,8,1,5,0,7,7,1,6,3,8,3,5,7,3,9,9,0,8,0,4,9,2,1,2, %U A381696 0,9,9,5,2,0,7,6,4,6,2,0,0,3,0,2,3,8,0,6,5,5 %N A381696 Decimal expansion of the isoperimetric quotient of a snub dodecahedron. %C A381696 For the definition of isoperimetric quotient of a solid, references and links, see A381684. %C A381696 The snub dodecahedron is the Archimedean solid with the highest isoperimetric quotient. %H A381696 Paolo Xausa, <a href="/A381696/b381696.txt">Table of n, a(n) for n = 0..10000</a> %H A381696 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a> %F A381696 Equals 36*Pi*A377805^2/(A377804^3). %F A381696 Equals Pi/((20*sqrt(3) + 3*sqrt(25 + 10*sqrt(5)))^3)*r = A000796/((20*A002194 + 3*sqrt(25 + 10*A002163))^3)*r, where r is the largest real root of x^6 - 52845*x^5 + 96583500*x^4 + 22087761875*x^3 + 4747626384375*x^2 - 5059009765293750*x + 187445810737515625. %e A381696 0.94699904523421562618454412877087470550479673815077... %t A381696 First[RealDigits[Pi/(20*Sqrt[3] + 3*Sqrt[25 + Sqrt[500]])^3*Root[#^6 - 52845*#^5 + 96583500*#^4 + 22087761875*#^3 + 4747626384375*#^2 - 5059009765293750*# + 187445810737515625 &, 4], 10, 100]] %Y A381696 Cf. A377804 (surface area), A377805 (volume). %Y A381696 Cf. A000796, A002163, A002194, A381684. %K A381696 nonn,cons,easy %O A381696 0,1 %A A381696 _Paolo Xausa_, Mar 10 2025