%I #6 Feb 07 2025 16:44:07
%S 1,4,4,4,9,9,4,6,8,8,9,5,5,1,3,1,1,8,0,4,5,3,3,2,4,9,5,9,5,8,3,8,4,1,
%T 1,6,9,9,2,8,1,0,1,8,9,1,7,5,1,3,6,2,1,6,8,6,9,8,7,1,7,9,8,3,1,4,4,9,
%U 9,7,9,7,2,2,8,7,6,1,9,2,2,0,3,4,4,2,4,7,9,1,0,9,4,7,1,3,6,9,5
%N Decimal expansion of least x>0 satisfying 4*x^2-x+1=tan(x).
%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.444994688955131180453324959583841169928101...
%t a = 4; b = -1; c = 1;
%t f[x_] := a*x^2 + b*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] (* A200600 *)
%Y Cf. A200338.
%K nonn,cons,changed
%O 1,2
%A _Clark Kimberling_, Nov 19 2011