|
%I #5 Mar 30 2012 18:57:57
%S 1,1,0,8,2,6,9,4,4,7,3,9,3,7,1,0,5,4,6,7,2,8,0,0,8,2,1,5,8,6,1,4,9,9,
%T 7,4,2,3,3,7,9,6,7,1,6,5,5,7,5,2,2,3,7,1,4,8,4,2,1,2,8,1,3,3,5,5,5,8,
%U 5,9,1,4,9,1,9,2,6,4,1,9,0,2,5,9,8,9,1,9,8,5,7,8,0,4,4,0,9,2,3
%N Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=1.
%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.1082694473937105467280082158614997423379...
%e positive: 0.2658016271983479815831296920342773310942...
%t a = 3; b = 3; c = 1;
%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /.
%t FindRoot[f[x] == g[x], {x, -1.2, -1.1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199158 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .26, .27}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199159 *)
%Y Cf. A198866.
%K nonn,cons
%O 1,4
%A _Clark Kimberling_, Nov 03 2011
|
