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.

A382006 Decimal expansion of the isoperimetric quotient of a disdyakis dodecahedron.

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%I A382006 #7 Mar 19 2025 07:40:34
%S A382006 9,1,0,0,6,5,6,3,8,8,0,8,0,3,1,1,7,0,5,9,1,2,3,8,0,8,5,7,0,5,3,7,1,4,
%T A382006 9,8,4,4,5,5,8,3,5,4,5,4,0,5,9,5,2,7,6,9,3,9,8,2,5,2,3,6,3,1,6,6,9,1,
%U A382006 6,1,4,1,6,3,6,5,1,7,5,8,9,1,5,4,7,8,3,7,3,7
%N A382006 Decimal expansion of the isoperimetric quotient of a disdyakis dodecahedron.
%C A382006 For the definition of isoperimetric quotient of a solid, references and links, see A381684.
%H A382006 Paolo Xausa, <a href="/A382006/b382006.txt">Table of n, a(n) for n = 0..10000</a>
%H A382006 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A382006 Equals 36*Pi*A378713^2/(A378712^3).
%F A382006 Equals (Pi*7/97)*sqrt((1709 + 1002*sqrt(2))/194) = (A000796*7/97)*sqrt((1709 + 1002*A002193)/194).
%e A382006 0.91006563880803117059123808570537149844558354540595...
%t A382006 First[RealDigits[Pi*7/97*Sqrt[(1709 + 1002*Sqrt[2])/194], 10, 100]]
%Y A382006 Cf. A378712 (surface area), A378713 (volume).
%Y A382006 Cf. A000796, A002193, A381684.
%K A382006 nonn,cons,easy
%O A382006 0,1
%A A382006 _Paolo Xausa_, Mar 18 2025