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.

A384139 Decimal expansion of the volume of an elongated triangular bipyramid with unit edges.

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%I A384139 #13 Aug 04 2025 08:55:59
%S A384139 6,6,8,7,1,4,9,6,2,2,8,7,7,3,5,1,6,4,8,4,8,8,0,9,7,0,6,0,7,8,0,8,4,4,
%T A384139 3,8,1,6,3,9,7,9,9,5,9,3,4,8,7,5,3,1,6,9,2,1,0,0,6,5,0,3,4,5,2,8,1,0,
%U A384139 5,3,3,3,9,7,0,8,8,4,5,1,5,7,4,5,3,5,1,1,3,5
%N A384139 Decimal expansion of the volume of an elongated triangular bipyramid with unit edges.
%C A384139 The elongated triangular bipyramid is Johnson solid J_14.
%C A384139 Also the volume of an augmented triangular prism (Johnson solid J_49) with unit edges. - _Paolo Xausa_, Aug 04 2025
%H A384139 Paolo Xausa, <a href="/A384139/b384139.txt">Table of n, a(n) for n = 0..10000</a>
%H A384139 Wikipedia, <a href="https://en.wikipedia.org/wiki/Augmented_triangular_prism">Augmented triangular prism</a>.
%H A384139 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elongated_triangular_bipyramid">Elongated triangular bipyramid</a>.
%F A384139 Equals (2*sqrt(2) + 3*sqrt(3))/12 = (A010466 + A010482)/12.
%F A384139 Equals the largest root of 20736*x^4 - 10080*x^2 + 361.
%e A384139 0.66871496228773516484880970607808443816397995934875...
%t A384139 First[RealDigits[(Sqrt[8] + Sqrt[27])/12, 10, 100]] (* or *)
%t A384139 First[RealDigits[PolyhedronData["J14", "Volume"], 10, 100]]
%Y A384139 Cf. A165663 (surface area - 2).
%Y A384139 Cf. A010482, A010482, A383852, A384138, A384140.
%K A384139 nonn,cons,easy
%O A384139 0,1
%A A384139 _Paolo Xausa_, May 20 2025