%I #9 Aug 06 2021 02:01:33
%S 1,4,6,3,3,5,1,5,2,6,2,3,9,0,5,7,3,0,0,7,6,6,6,7,3,2,2,4,3,4,8,1,5,4,
%T 1,3,0,6,7,5,6,6,7,3,6,6,7,6,4,1,9,4,3,8,9,7,3,4,3,8,2,4,9,0,0,5,8,3,
%U 3,5,2,0,6,6,6,8,5,2,2,6,9,8,9,0,5,7,0,4,9,3,6,0,8,4,2,4,5,3,8
%N Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.463351526239057300766673224348154130675667...
%t a = 2; b = 2; c = 3;
%t f[x_] := a*x^2 + b*Sin[x] + c; g[x_] := Tan[x]
%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200365 *)
%Y Cf. A200338.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 17 2011
%E Definition corrected by _Georg Fischer_, Aug 05 2021
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