|
%I
%S 3,8,3,3,5,6,1,0,0,7,1,6,8,5,7,4,4,2,3,4,0,1,4,9,4,5,3,0,5,7,9,9,0,1,
%T 8,0,4,6,6,2,9,2,2,3,5,5,2,6,1,7,2,0,8,3,6,9,0,2,7,5,3,7,6,9,7,2,3,2,
%U 0,7,1,8,8,8,5,5,0,9,3,0,8,5,0,4,1,7,2,0,8,1,5,8,8,8,2,4,9,9,9
%N Decimal expansion of x>0 having x^2-4x=sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=3.83356100716857442340149453057990180466...
%t a = 1; b = -4; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.2, 4}]
%t r = x /. FindRoot[f[x] == g[x], {x, 3.83, 3.84}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198489 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 25 2011
|
