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 A385506 #8 Jul 01 2025 08:29:09 %S A385506 1,1,4,0,1,1,9,4,8,3,0,7,8,7,6,6,8,4,7,7,8,2,7,0,5,9,4,7,4,8,1,3,1,7, %T A385506 1,3,1,0,2,0,5,3,7,2,5,1,1,4,1,0,6,9,1,9,3,6,0,2,2,9,1,6,1,3,8,5,8,3, %U A385506 4,9,4,9,3,4,5,8,2,5,3,5,2,8,6,9,5,4,8,0,3,1 %N A385506 Decimal expansion of the volume of a triaugmented triangular prism with unit edge. %C A385506 The triaugmented triangular prism is Johnson solid J_51. %H A385506 Paolo Xausa, <a href="/A385506/b385506.txt">Table of n, a(n) for n = 1..10000</a> %H A385506 Wikipedia, <a href="https://en.wikipedia.org/wiki/Triaugmented_triangular_prism">Triaugmented triangular prism</a>. %F A385506 Equals 1/sqrt(2) + sqrt(3)/4 = A010503 + A120011 = (A010466 + A002194)/4. %F A385506 Equals the largest root of 256*x^4 - 352*x^2 + 25. %e A385506 1.140119483078766847782705947481317131020537251141... %t A385506 First[RealDigits[(Sqrt[8] + Sqrt[3])/4, 10, 100]] (* or *) %t A385506 First[RealDigits[PolyhedronData["J51", "Volume"], 10, 100]] %Y A385506 Cf. A097715 (surface area). %Y A385506 Cf. A002194, A010466, A010503, A120011, A385505. %K A385506 nonn,cons,easy %O A385506 1,3 %A A385506 _Paolo Xausa_, Jul 01 2025