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 A201894 #10 Feb 07 2025 16:44:07
%S A201894 2,9,9,2,8,8,4,5,9,0,3,3,8,2,0,4,4,1,9,1,1,4,5,3,4,9,0,7,8,3,2,3,3,4,
%T A201894 2,3,3,7,0,4,0,2,3,8,2,1,1,3,1,1,5,8,6,6,1,4,0,7,2,3,0,5,7,1,5,9,5,0,
%U A201894 8,5,3,4,7,4,3,6,9,2,3,8,8,6,2,6,2,8,3,7,8,9,1,6,5,3,2,9,8,0,9,7
%N A201894 Decimal expansion of the number x satisfying x^2 + 2x + 5 = e^x.
%C A201894 See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H A201894 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201894 2.9928845903382044191145349078323342337040238211311...
%t A201894 a = 1; b = 2; c = 5;
%t A201894 f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t A201894 Plot[{f[x], g[x]}, {x, -2, 4}, {AxesOrigin -> {0, 0}}]
%t A201894 r = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, WorkingPrecision -> 110]
%t A201894 RealDigits[r] (* A201894 *)
%Y A201894 Cf. A201741.
%K A201894 nonn,cons
%O A201894 1,1
%A A201894 _Clark Kimberling_, Dec 06 2011
%E A201894 a(85) onwards corrected by _Georg Fischer_, Aug 03 2021