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%I #5 Mar 30 2012 18:57:57
%S 6,9,0,8,3,6,1,8,1,2,0,5,4,2,6,4,8,1,3,6,8,3,7,1,5,5,8,7,3,1,9,7,3,1,
%T 2,7,4,9,6,3,1,7,6,2,9,0,5,1,7,7,2,6,9,6,9,9,9,9,2,6,6,9,0,0,6,5,4,7,
%U 4,7,4,8,3,7,0,3,4,7,7,9,3,0,9,1,1,6,8,6,1,4,0,5,0,8,2,7,8,3,1
%N Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=3*cos(x).
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.69083618120542648136837155873197312749631762...
%t a = 3; b = 2; c = 3;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .69, .70}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199451 *)
%Y Cf. A199429.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 06 2011
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