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.
%I A385578 #6 Jul 05 2025 11:25:17 %S A385578 3,0,6,9,4,8,0,7,3,2,1,4,4,3,4,7,6,2,3,2,2,5,0,6,5,7,5,3,6,6,2,0,4,1, %T A385578 2,4,3,2,7,0,7,6,5,1,7,2,5,0,7,8,8,6,9,6,6,4,7,5,9,3,7,0,4,8,5,0,8,1, %U A385578 4,3,6,8,4,8,5,0,5,6,9,0,6,8,5,7,1,8,4,8,4,5 %N A385578 Decimal expansion of the volume of a parabiaugmented hexagonal prism with unit edge. %C A385578 The parabiaugmented hexagonal prism is Johnson solid J_55. %C A385578 Also the volume of a metabiaugmented hexagonal prism (Johnson solid J_56) with unit edge. %H A385578 Paolo Xausa, <a href="/A385578/b385578.txt">Table of n, a(n) for n = 1..10000</a> %H A385578 Wikipedia, <a href="https://en.wikipedia.org/wiki/Parabiaugmented_hexagonal_prism">Parabiaugmented hexagonal prism</a>. %F A385578 Equals (2*sqrt(2) + 9*sqrt(3))/6 = (A010466 + 9*A002194)/6 = A131594 + A104956. %F A385578 Equals the largest root of 1296*x^4 - 18072*x^2 + 55225. %e A385578 3.0694807321443476232250657536620412432707651725... %t A385578 First[RealDigits[(Sqrt[8] + 9*Sqrt[3])/6, 10, 100]] (* or *) %t A385578 First[RealDigits[PolyhedronData["J55", "Volume"], 10, 100]] %Y A385578 Cf. A385257 (surface area + 2). %Y A385578 Cf. A002194, A010466, A104956, A131594, A385569. %K A385578 nonn,cons,easy %O A385578 1,1 %A A385578 _Paolo Xausa_, Jul 04 2025