A198562 - OEIS

%I #5 Mar 30 2012 18:57:54

%S 1,3,7,8,6,6,0,9,4,8,1,9,9,5,4,9,1,9,3,0,5,2,5,5,6,8,5,4,2,7,5,9,0,4,

%T 1,2,5,6,1,8,2,4,6,7,0,3,8,6,5,0,2,2,2,9,7,1,5,6,0,5,6,4,9,2,8,3,5,7,

%U 5,6,6,6,5,6,7,2,9,6,8,7,1,9,8,0,1,4,8,5,6,8,6,0,9,8,6,6,8,9,1

%N Decimal expansion of x>0 having 3*x^2-2x=3*sin(x).

%C See A198414 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=1.3786609481995491930525568542759041256182467...

%t a = 3; b = -2; c = 3;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -.2, 1.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198562 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 26 2011