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.

A384142 Decimal expansion of the volume of a gyroelongated square bipyramid with unit edge.

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%I A384142 #8 May 23 2025 10:14:24
%S A384142 1,4,2,8,4,0,4,5,0,2,6,2,7,7,4,8,4,0,0,5,2,7,1,4,6,5,4,9,0,7,8,8,6,7,
%T A384142 9,2,7,9,8,0,9,0,4,1,6,4,1,8,4,7,7,8,1,6,9,2,7,4,0,4,4,7,1,1,5,5,3,3,
%U A384142 4,9,5,5,2,1,9,8,9,4,2,8,9,2,7,8,3,2,7,2,2,9
%N A384142 Decimal expansion of the volume of a gyroelongated square bipyramid with unit edge.
%C A384142 The gyroelongated square bipyramid is Johnson solid J_17.
%H A384142 Paolo Xausa, <a href="/A384142/b384142.txt">Table of n, a(n) for n = 1..10000</a>
%H A384142 Wikipedia, <a href="https://en.wikipedia.org/wiki/Gyroelongated_square_bipyramid">Gyroelongated square bipyramid</a>.
%F A384142 Equals (sqrt(2) + sqrt(4 + 3*sqrt(2)))/3 = (A002193 + sqrt(4 + A010474))/3.
%F A384142 Equals the largest real root of 81*x^4 - 108*x^2 - 72*x-14.
%e A384142 1.428404502627748400527146549078867927980904164...
%t A384142 First[RealDigits[(Sqrt[2] + Sqrt[4 + Sqrt[18]])/3, 10, 100]] (* or *)
%t A384142 First[RealDigits[PolyhedronData["J17", "Volume"], 10, 100]]
%Y A384142 Cf. A010502 (surface area).
%Y A384142 Cf. A002193, A010474, A179638.
%K A384142 nonn,cons,easy
%O A384142 1,2
%A A384142 _Paolo Xausa_, May 22 2025