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A199389 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=3. 1

%I

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

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

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

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

%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.8797806266210334867159002705550266996237...

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

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

%t Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .87, .88}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199389 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011

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Last modified March 20 19:57 EDT 2019. Contains 321349 sequences. (Running on oeis4.)