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 A201743 #8 Feb 07 2025 16:44:07 %S A201743 2,1,5,8,7,2,6,0,6,4,4,8,1,2,2,4,6,2,4,1,4,0,2,4,0,7,5,4,8,1,3,8,5,6, %T A201743 7,1,7,7,5,5,9,0,7,4,1,5,7,7,7,6,7,1,4,4,8,1,8,8,9,1,8,6,8,7,0,6,0,8, %U A201743 7,1,9,1,2,4,9,3,2,1,3,0,0,3,1,3,3,2,4,6,9,2,4,2,5,8,6,0,0,6,4 %N A201743 Decimal expansion of the number x satisfying x^2+4=e^x. %C A201743 See A201741 for a guide to related sequences. The Mathematica program includes a graph. %H A201743 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201743 x=2.1587260644812246241402407548138567177... %t A201743 a = 1; b = 0; c = 4; %t A201743 f[x_] := a*x^2 + b*x + c; g[x_] := E^x %t A201743 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}] %t A201743 r = x /. FindRoot[f[x] == g[x], {x, 2.1, 2.2}, WorkingPrecision -> 110] %t A201743 RealDigits[r] (* A201743 *) %Y A201743 Cf. A201741. %K A201743 nonn,cons %O A201743 1,1 %A A201743 _Clark Kimberling_, Dec 05 2011