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A199054 Decimal expansion of x<0 satisfying x^2+3*sin(x)=1. 3

%I

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

%T 8,6,1,8,8,1,5,9,2,3,4,1,2,9,4,2,8,9,9,9,1,3,7,3,1,9,5,9,9,7,7,7,1,2,

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

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

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

%e negative: -1.946877744670682908335473546697723...

%e positive: 0.306755354137753007011651634733360...

%t a = 1; b = 3; c = 1;

%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -2, -1.9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199054 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .3, .31}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199055 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 02 2011

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Last modified October 15 03:04 EDT 2019. Contains 328025 sequences. (Running on oeis4.)