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 A101314 #17 Feb 16 2025 08:32:55 %S A101314 2,8,4,6,6,8,1,3,7,0,4,0,8,3,8,4,6,1,6,8,0,2,2,5,6,7,6,7,6,9,7,1,9,1, %T A101314 3,0,9,8,6,5,0,2,6,7,0,5,8,5,0,4,5,4,3,1,5,1,6,9,3,1,4,7,0,9,7,7,6,6, %U A101314 8,9,4,3,9,0,2,5,9,2,4,4,3,7,8,3,9,6,3,7,5,5,9,8,6,0,1,1,0,7,5,0,6,3,7,4,3 %N A101314 Decimal expansion of constant K, the unique solution > 1 to 2*Pi*log(k) == Pi*(1 - 1/k). %C A101314 Decimal expansion of the number K > 1 such that the surface area equals the volume of Gabriel's horn from x=1 to x=K, where x is the radial (central) axis and Gabriel's horn is a function y=1/x rotated about the x-axis. %H A101314 L. Bayon, P. Fortuny Ayuso, J. M. Grau, A. M. Oller-Marcen, and M.M. Ruiz, <a href="https://arxiv.org/abs/1706.07185">The Best-or-Worst and the Postdoc problems</a>, arXiv:1706.07185 [math.PR], 2017. %H A101314 L. Bayon, J. Grau, A. M. Oller-Marcen, M. Ruiz, and P. M. Suarez, <a href="http://arxiv.org/abs/1603.03928">A variant of the Secretary Problem: the Best or the Worst</a>, arXiv preprint arXiv:1603.03928 [math.PR], 2016. %H A101314 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GabrielsHorn.html">Gabriel's Horn</a>. %F A101314 -1/(2*ProductLog(-1, -1/(2*sqrt(e)))) %e A101314 0.2846681370408384616802256767697191309865026705850454315169314709776689439... %t A101314 RealDigits[ -1/(2*ProductLog[ -1, -1/(2*Sqrt[E])]), 10, 128][[1]] %K A101314 cons,nonn %O A101314 0,1 %A A101314 Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 23 2004