A198614 - OEIS

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

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

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

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

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

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

%e x=0.3167004381809262560438524000879768167851...

%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, -.1, .4}]

%t r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110]

%t RealDigits[r](* A198614 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 28 2011