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 A201900 #8 Feb 07 2025 16:44:07 %S A201900 3,0,7,7,4,5,4,7,2,9,8,2,6,0,8,8,7,0,5,2,1,7,7,4,2,5,0,8,3,6,7,5,6,3, %T A201900 7,9,8,8,2,0,7,5,7,4,0,0,8,7,0,6,5,0,9,1,8,7,9,9,5,9,0,9,1,1,8,4,5,4, %U A201900 2,6,0,8,9,5,1,6,7,4,1,4,6,2,1,2,4,0,4,9,5,6,9,5,8,8,4,5,2,9,3 %N A201900 Decimal expansion of the number x satisfying x^2+3x+3=e^x. %C A201900 See A201741 for a guide to related sequences. The Mathematica program includes a graph. %H A201900 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201900 x=3.077454729826088705217742508367563798820757400... %t A201900 a = 1; b = 3; c = 3; %t A201900 f[x_] := a*x^2 + b*x + c; g[x_] := E^x %t A201900 Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}] %t A201900 r = x /. FindRoot[f[x] == g[x], {x, 3.0, 3.1}, WorkingPrecision -> 110] %t A201900 RealDigits[r] (* A201900 *) %Y A201900 Cf. A201741. %K A201900 nonn,cons %O A201900 1,1 %A A201900 _Clark Kimberling_, Dec 06 2011