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 A201889 #10 Feb 07 2025 16:44:07 %S A201889 2,7,1,2,8,7,7,1,8,7,0,3,7,3,1,9,6,0,2,2,1,8,8,0,5,3,4,8,5,3,9,2,0,4, %T A201889 5,1,3,5,6,9,4,1,1,8,2,9,2,0,2,7,8,1,6,4,2,4,8,4,1,1,0,6,6,1,5,4,4,0, %U A201889 8,9,5,0,4,4,1,7,7,2,6,2,7,5,5,4,3,6,6,4,3,7,2,2,9,7,2,4,2,8,5 %N A201889 Decimal expansion of the number x satisfying x^2+x+5=e^x. %C A201889 See A201741 for a guide to related sequences. The Mathematica program includes a graph. %H A201889 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201889 2.71287718703731960221880534853920451356941... %t A201889 a = 1; b = 1; c = 5; %t A201889 f[x_] := a*x^2 + b*x + c; g[x_] := E^x %t A201889 Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}] %t A201889 r = x /. FindRoot[f[x] == g[x], {x, 2.7, 2.8}, WorkingPrecision -> 110] %t A201889 RealDigits[r] (* A201889 *) %Y A201889 Cf. A201741. %K A201889 nonn,cons %O A201889 1,1 %A A201889 _Clark Kimberling_, Dec 06 2011