|
%I #5 Mar 30 2012 18:57:54
%S 4,9,0,1,1,0,8,3,0,7,3,4,8,6,7,4,3,7,3,5,5,1,4,0,7,3,7,4,1,1,1,6,7,2,
%T 0,1,4,3,4,8,1,0,1,9,5,1,7,8,7,8,7,7,4,6,4,1,5,1,7,4,1,1,2,9,7,3,7,4,
%U 0,5,7,6,8,3,7,3,0,3,7,5,8,9,9,4,5,6,8,7,1,1,0,2,7,2,0,1,0,4,3
%N Decimal expansion of x>0 having 4*x^2-x=sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.490110830734867437355140737411167201434810...
%t a = 4; b = -1; c = 1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 1}]
%t r = x /. FindRoot[f[x] == g[x], {x, .49, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198554 *)
%Y Cf. A198414.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 26 2011
|
