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.

A382013 Decimal expansion of the isoperimetric quotient of a pentagonal hexecontahedron.

This page as a plain text file.
%I A382013 #6 Mar 21 2025 10:02:46
%S A382013 9,4,5,8,9,7,2,9,5,6,9,5,7,2,9,1,5,8,1,9,1,0,4,2,9,0,1,5,1,2,8,9,3,5,
%T A382013 2,3,7,2,5,8,2,6,5,7,5,5,8,5,4,4,1,0,2,0,8,2,8,3,1,1,7,0,8,5,1,9,4,4,
%U A382013 1,1,1,4,7,1,0,0,3,4,8,6,4,5,3,5,2,8,8,2,7,3
%N A382013 Decimal expansion of the isoperimetric quotient of a pentagonal hexecontahedron.
%C A382013 For the definition of isoperimetric quotient of a solid, references and links, see A381684.
%H A382013 Paolo Xausa, <a href="/A382013/b382013.txt">Table of n, a(n) for n = 0..10000</a>
%H A382013 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A382013 Equals 36*Pi*A379889^2/(A379888^3).
%F A382013 Equals Pi*r = A000796*r, where r is the largest real root of 833792316361265129150390625*x^12 - 76417843993663777294921875*x^10 + 75406453847680345312500*x^8 - 6451350086449828125*x^6 + 27511634863125*x^4 - 1145722050*x^2 + 961.
%e A382013 0.94589729569572915819104290151289352372582657558544...
%t A382013 First[RealDigits[Pi*Root[833792316361265129150390625*#^12 - 76417843993663777294921875*#^10 + 75406453847680345312500*#^8 - 6451350086449828125*#^6 + 27511634863125*#^4 - 1145722050*#^2 + 961 &, 8], 10, 100]]
%Y A382013 Cf. A379888 (surface area), A379889 (volume).
%Y A382013 Cf. A000796, A381684.
%K A382013 nonn,cons,easy
%O A382013 0,1
%A A382013 _Paolo Xausa_, Mar 21 2025