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 A385569 #8 Jul 03 2025 09:28:57 %S A385569 2,8,3,3,7,7,8,4,7,1,7,4,8,8,3,1,7,8,1,7,5,8,1,1,7,6,3,2,9,6,0,4,2,4, %T A385569 8,9,6,8,4,2,4,8,6,5,2,6,6,1,1,7,2,8,9,5,4,2,7,9,8,2,3,7,5,8,8,4,3,0, %U A385569 2,1,6,0,5,1,0,6,8,8,4,5,6,2,0,9,6,7,8,3,8,6 %N A385569 Decimal expansion of the volume of an augmented hexagonal prism with unit edge. %C A385569 The augmented hexagonal prism is Johnson solid J_54. %H A385569 Paolo Xausa, <a href="/A385569/b385569.txt">Table of n, a(n) for n = 1..10000</a> %H A385569 Wikipedia, <a href="https://en.wikipedia.org/wiki/Augmented_hexagonal_prism">Augmented hexagonal prism</a>. %F A385569 Equals (sqrt(2) + 9*sqrt(3))/6 = (A002193 + 9*A002194)/6. %F A385569 Equals the largest root of 1296*x^4 - 17640*x^2 + 58081. %e A385569 2.8337784717488317817581176329604248968424865266117... %t A385569 First[RealDigits[(Sqrt[2] + 9*Sqrt[3])/6, 10, 100]] (* or *) %t A385569 First[RealDigits[PolyhedronData["J54", "Volume"], 10, 100]] %Y A385569 Cf. A354129 (surface area + 2). %Y A385569 Cf. A002193, A002194, A385505, A385506, A385509. %K A385569 nonn,cons,easy %O A385569 1,1 %A A385569 _Paolo Xausa_, Jul 03 2025