cp's OEIS Frontend

A201929 Decimal expansion of the greatest x satisfying x^2+4x+4=e^x.

%I A201929 #8 Feb 07 2025 16:44:07
%S A201929 3,3,5,6,6,9,3,9,8,0,0,3,3,3,2,1,3,0,6,8,2,5,7,6,9,0,2,4,1,8,9,0,4,6,
%T A201929 1,6,9,6,4,8,9,1,7,5,3,0,7,0,3,2,0,4,4,3,2,7,9,6,6,8,3,7,3,6,7,9,8,0,
%U A201929 9,5,2,9,1,3,7,1,4,2,6,8,7,3,9,9,4,9,3,9,6,4,8,3,7,6,2,4,1,2,7
%N A201929 Decimal expansion of the greatest x satisfying x^2+4x+4=e^x.
%C A201929 See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H A201929 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201929 least:  -2.3143699029676280191739133920...
%e A201929 nearest to 0:  -1.536078094026931130511...
%e A201929 greatest:  3.35669398003332130682576902...
%t A201929 a = 1; b = 4; c = 4;
%t A201929 f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t A201929 Plot[{f[x], g[x]}, {x, -3, 3.5}, {AxesOrigin -> {0, 0}}]
%t A201929 r = x /. FindRoot[f[x] == g[x], {x, -2.4, -2.3}, WorkingPrecision -> 110]
%t A201929 RealDigits[r]     (* A201927 *)
%t A201929 r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
%t A201929 RealDigits[r]     (* A201928 *)
%t A201929  r = x /. FindRoot[f[x] == g[x], {x, 3.3, 3.4}, WorkingPrecision -> 110]
%t A201929 RealDigits[r]     (* A201929 *)
%Y A201929 Cf. A201741.
%K A201929 nonn,cons
%O A201929 1,1
%A A201929 _Clark Kimberling_, Dec 06 2011