|
%I #6 Mar 30 2012 18:57:54
%S 1,7,2,2,1,2,5,1,1,2,0,7,6,7,2,3,5,9,9,4,1,5,1,4,0,0,7,3,4,7,1,7,7,4,
%T 0,5,8,1,9,0,5,0,8,1,5,5,9,3,9,2,2,3,9,8,9,2,2,2,0,0,6,0,9,5,6,8,1,2,
%U 9,5,0,8,4,2,3,2,6,5,7,5,2,2,9,7,6,8,7,4,6,9,2,0,5,2,4,9,5,6,8
%N Decimal expansion of x>0 having x^2=3*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.72212511207672359941514007347177405819...
%t a = 1; b = 0; c = 3;
%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, 1.7, 1.8}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198415 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 24 2011
|
