A198539 - OEIS

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

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

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

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

%N Decimal expansion of x<0 having 4*x^2+2x=sin(x).

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

%e x=-0.252651217363067969849947891467001...

%t a = 4; b = 2; c = 1;

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

%t Plot[{f[x], g[x]}, {x, -.6, .2}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198539 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011