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A199390 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=1. 1

%I #5 Mar 30 2012 18:57:57

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

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

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

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

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

%e x=0.45023531640032044698075574537607549504860690...

%t a = 3; b = 2; c = 1;

%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, .45, .46}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199390 *)

%Y Cf. A199370.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011

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