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 A201562 #10 Feb 07 2025 16:44:07 %S A201562 2,4,2,5,6,2,2,4,5,6,9,6,5,4,4,2,2,3,4,3,8,7,5,1,8,8,0,9,4,8,5,0,9,2, %T A201562 0,3,3,8,1,8,2,8,2,1,1,5,7,2,4,2,5,9,5,1,0,5,9,0,8,6,2,4,3,0,7,7,7,7, %U A201562 8,7,6,1,9,2,3,5,3,7,3,1,0,7,4,2,3,2,2,8,6,5,0,0,0,2,0,3,9,7,6 %N A201562 Decimal expansion of the number x satisfying x^2+x+3=e^x. %C A201562 See A201741 for a guide to related sequences. The Mathematica program includes a graph. %H A201562 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A201562 2.42562245696544223438751880948509203381828211... %t A201562 a = 1; b = 1; c = 3; %t A201562 f[x_] := a*x^2 + b*x + c; g[x_] := E^x %t A201562 Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}] %t A201562 r = x /. FindRoot[f[x] == g[x], {x, 2.4, 2.5}, WorkingPrecision -> 110] %t A201562 RealDigits[r] (* A201562 *) %Y A201562 Cf. A201741. %K A201562 nonn,cons %O A201562 1,1 %A A201562 _Clark Kimberling_, Dec 06 2011