cp's OEIS Frontend

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.

A201747 Decimal expansion of the number x satisfying x^2+8=e^x.

This page as a plain text file.
%I A201747 #8 Feb 07 2025 16:44:07
%S A201747 2,7,4,2,0,5,7,1,9,7,2,5,8,6,5,1,5,9,5,5,1,9,1,6,7,3,7,8,7,9,0,0,2,3,
%T A201747 5,8,5,1,6,8,0,2,5,4,9,1,4,3,6,1,4,1,9,6,5,8,3,5,0,3,4,4,2,5,5,8,2,5,
%U A201747 1,3,3,8,6,4,2,9,5,0,1,5,2,3,3,6,2,7,0,1,5,3,4,1,5,0,7,2,8,0,5
%N A201747 Decimal expansion of the number x satisfying x^2+8=e^x.
%C A201747 See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H A201747 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201747 x=2.7420571972586515955191673787900235851680254...
%t A201747 a = 1; b = 0; c = 8;
%t A201747 f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t A201747 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A201747 r = x /. FindRoot[f[x] == g[x], {x, 2.7, 2.8}, WorkingPrecision -> 110]
%t A201747 RealDigits[r]   (* A201747 *)
%Y A201747 Cf. A201741.
%K A201747 nonn,cons
%O A201747 1,1
%A A201747 _Clark Kimberling_, Dec 05 2011