A198578 - OEIS

%I #6 Mar 30 2012 18:57:54

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

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

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

%N Decimal expansion of x>0 satisfying 2*x^2-4x=3*sin(x).

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

%e x=2.41354774211690976601430928421162373002603...

%t a = 2; b = -4; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -.2, 2.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.4, 2.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198578 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 27 2011