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 A199158 Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=1. 3

%I

%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

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Last modified December 6 01:25 EST 2021. Contains 349558 sequences. (Running on oeis4.)