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%I #7 Jan 30 2025 11:34:15
%S 3,1,5,2,5,9,0,7,3,6,7,5,7,1,5,8,2,7,4,9,9,6,9,8,9,0,0,4,7,6,7,1,3,9,
%T 7,8,5,8,1,3,8,0,9,4,4,8,2,5,9,8,9,3,1,5,4,6,3,5,0,1,5,8,0,5,9,3,5,0,
%U 8,5,3,3,6,7,0,4,6,0,8,0,6,7,6,4,9,5,9,5,4,4,3,7,3,6,5,7,9,3,3
%N Decimal expansion of the number x satisfying x^2+3x+4=e^x.
%C See A201741 for a guide to related sequences. The Mathematica program includes a graph.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e x=3.1525907367571582749969890047671397858138094...
%t a = 1; b = 3; c = 4;
%t f[x_] := a*x^2 + b*x + c; g[x_] := E^x
%t Plot[{f[x], g[x]}, {x, -3, 3.3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 3.1, 3.2}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201901 *)
%Y Cf. A201741.
%K nonn,cons,changed
%O 1,1
%A _Clark Kimberling_, Dec 06 2011