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.

A385694 Decimal expansion of the volume of a triaugmented hexagonal prism with unit edge.

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%I A385694 #8 Jul 11 2025 22:32:37
%S A385694 3,3,0,5,1,8,2,9,9,2,5,3,9,8,6,3,4,6,4,6,9,2,0,1,3,8,7,4,3,6,3,6,5,7,
%T A385694 5,8,9,6,9,9,0,4,3,8,1,8,4,0,4,0,4,4,9,7,8,6,7,2,0,5,0,3,3,8,1,7,3,2,
%U A385694 6,5,7,6,4,5,9,4,2,5,3,5,7,5,0,4,6,9,1,3,0,4
%N A385694 Decimal expansion of the volume of a triaugmented hexagonal prism with unit edge.
%C A385694 The triaugmented hexagonal prism is Johnson solid J_57.
%H A385694 Paolo Xausa, <a href="/A385694/b385694.txt">Table of n, a(n) for n = 1..10000</a>
%H A385694 Wikipedia, <a href="https://en.wikipedia.org/wiki/Triaugmented_hexagonal_prism">Triaugmented hexagonal prism</a>.
%F A385694 Equals 1/sqrt(2) + 3*sqrt(3)/2 = A010503 + A104956.
%F A385694 Equals the largest root of 16*x^4 - 232*x^2 + 625.
%e A385694 3.3051829925398634646920138743636575896990438184040...
%t A385694 First[RealDigits[1/Sqrt[2] + 3*Sqrt[3]/2, 10, 100]]
%t A385694 First[RealDigits[PolyhedronData["J57", "Volume"], 10, 100]]
%Y A385694 Cf. A385259 (surface area + 7).
%Y A385694 Cf. A010503, A104956, A385569, A385578.
%K A385694 nonn,cons,easy
%O A385694 1,1
%A A385694 _Paolo Xausa_, Jul 07 2025