A200360 - OEIS

%I #7 Aug 09 2021 08:04:29

%S 1,4,1,6,4,9,7,8,3,4,1,7,8,0,0,1,3,0,2,3,8,7,9,2,6,6,8,6,2,7,1,0,0,2,

%T 9,1,7,7,9,8,4,0,3,9,5,7,6,9,1,4,6,0,4,0,7,0,7,5,6,3,9,8,0,6,1,4,9,1,

%U 8,4,9,2,3,4,8,3,5,0,6,8,1,8,1,1,8,9,5,5,2,8,2,4,8,0,2,9,1,6,1,5,6,6,5

%N Decimal expansion of least x>0 satisfying 2*x^2+x+1=tan(x).

%C See A200338 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.41649783417800130238792668627100291779840...

%t a = 2; 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]   (* A200360 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 17 2011