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 A324859 #20 Mar 24 2019 06:08:04 %S A324859 1,9,9,0,7,5,3,0,3,5,4,4,7,7,2,8,5,4,9,7,1,1,3,0,0,3,5,0,7,2,2,2,8,4, %T A324859 2,1,6,8,8,2,8,6,6,3,2,0,1,6,3,1,5,1,0,7,6,1,0,1,4,8,1,0,1,7,7,9,7,0, %U A324859 6,9,3,8,2,0,3,4,0,7,2,1,0,3,6,6,9,8,1,6,4,0,4,4,7,4,9,2,4,1,9,7 %N A324859 Decimal expansion of 0.1990753..., an inflection point of a Hurwitz zeta fixed-point function. %C A324859 For real values of the parameter "a" between 0 and 1, a real fixed point "s" of the iterated Hurwitz zeta function [s = zetahurwitz(s, a)] lies on a curve that passes through A069857 (-0.295905...) and has a maximum tending toward 1. This curve has inflection points for a = 0.1990753... or 0.91964... . The fixed point "s" on this curve for the iteration "s = zetahurwitz(s, A324859)" is A324860 (0.5250984...). %H A324859 Reikku Kulon, <a href="/A324859/a324859.png">Plot of Hurwitz zeta fixed-point curve</a> for 0 < a < 2 and -1 < s < +1. %e A324859 0.1990753035447728549711300350722284216882866320163... %o A324859 (PARI) solve(t = 1/16, 1/2, derivnum(x = t, solve(v = -1, 1 - x, v - zetahurwitz(v, x)), 2); ) %Y A324859 Cf. A069857, A069995, A324860. %K A324859 nonn,cons %O A324859 0,2 %A A324859 _Reikku Kulon_, Mar 18 2019