A198920 - OEIS

%I #5 Mar 30 2012 18:57:56

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

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

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

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

%C See A198755 for a guide to related sequences.  The Mathematica program includes a graph.

%e x=0.981126286129881303941379543178277310622...

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

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

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .98, .99}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198920 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 31 2011