cp's OEIS Frontend

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.

A382012 Decimal expansion of the isoperimetric quotient of a disdyakis triacontahedron.

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%I A382012 #6 Mar 21 2025 10:02:40
%S A382012 9,5,7,7,6,5,0,2,3,8,4,7,8,0,7,6,9,0,7,6,1,8,7,4,0,8,9,5,3,2,4,0,6,1,
%T A382012 7,7,9,0,7,8,3,3,4,3,8,2,0,5,1,7,0,6,4,6,2,7,1,1,9,1,2,1,2,3,7,0,5,9,
%U A382012 6,8,3,3,7,7,0,9,2,3,3,4,0,9,9,3,8,9,3,7,1,2
%N A382012 Decimal expansion of the isoperimetric quotient of a disdyakis triacontahedron.
%C A382012 For the definition of isoperimetric quotient of a solid, references and links, see A381684.
%C A382012 The disdyakis triacontahedron is the Catalan solid with the highest isoperimetric quotient.
%H A382012 Paolo Xausa, <a href="/A382012/b382012.txt">Table of n, a(n) for n = 0..10000</a>
%H A382012 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A382012 Equals 36*Pi*A379709^2/(A379708^3).
%F A382012 Equals Pi*r = A000796*r, where r is the largest root of 13997521*x^4 - 1302278*x^2 + 121.
%e A382012 0.95776502384780769076187408953240617790783343820517...
%t A382012 First[RealDigits[Pi*Root[13997521*#^4 - 1302278*#^2 + 121 &, 4], 10, 100]]
%Y A382012 Cf. A379708 (surface area), A379709 (volume).
%Y A382012 Cf. A000796, A381684.
%K A382012 nonn,cons,easy
%O A382012 0,1
%A A382012 _Paolo Xausa_, Mar 20 2025