A198496 - OEIS

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

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

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

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

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

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

%e x=-0.52243660939935143981535690788957829569905...

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

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

%t Plot[{f[x], g[x]}, {x, -1, 1}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.53, -.52}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198496 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 25 2011