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A199055 Decimal expansion of x>0 satisfying x^2+3*sin(x)=1. 3

%I

%S 3,0,6,7,5,5,3,5,4,1,3,7,7,5,3,0,0,7,0,1,1,6,5,1,6,3,4,7,3,3,3,6,0,1,

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

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

%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: 0.30675535413775300701165163473336014...

%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 0,1

%A _Clark Kimberling_, Nov 02 2011

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Last modified November 13 00:25 EST 2019. Contains 329083 sequences. (Running on oeis4.)