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A199077 Decimal expansion of x>0 satisfying 3*x^2+sin(x)=1. 3

%I

%S 4,3,8,0,9,5,8,9,7,4,2,1,3,4,0,4,5,2,7,3,0,7,2,2,5,9,0,3,6,5,4,4,5,6,

%T 4,2,4,0,7,9,0,3,3,6,7,7,9,6,3,6,8,6,4,0,2,4,3,6,2,9,7,8,9,3,6,7,2,7,

%U 6,1,3,3,7,2,7,9,6,1,1,4,1,4,4,1,0,4,3,1,3,0,2,6,7,1,8,9,9,5,1

%N Decimal expansion of x>0 satisfying 3*x^2+sin(x)=1.

%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.

%e negative: -0.74844244701581115464359646501040627441...

%e positive: 0.438095897421340452730722590365445642407...

%t a = 3; b = 1; 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 /. FindRoot[f[x] == g[x], {x, -.75, -.74}, WorkingPrecision -> 110]

%t RealDigits[r](* A199060 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .43, .44}, WorkingPrecision -> 110]

%t RealDigits[r](* A199077 *)

%Y Cf. A198866.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 03 2011

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Last modified April 3 16:46 EDT 2020. Contains 333197 sequences. (Running on oeis4.)