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A198617 Decimal expansion of x<0 satisfying 3*x^2+3x=2*sin(x). 2

%I #5 Mar 30 2012 18:57:55

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

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

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

%N Decimal expansion of x<0 satisfying 3*x^2+3x=2*sin(x).

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

%e x=-0.34660144807696106330542454823366804915763...

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

%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, -.35, -.34}, WorkingPrecision -> 110]

%t RealDigits[r](* A198617 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 28 2011

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