A198421 - OEIS

%I #5 Mar 30 2012 18:57:54

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

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

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

%N Decimal expansion of x>0 having x^2-x=2*sin(x).

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

%e x=1.9514875340956697765470738518775549185...

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

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

%t Plot[{f[x], g[x]}, {x, -1, 2}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.9, 2.0}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198421 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 24 2011