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%I #5 Mar 30 2012 18:57:58
%S 1,1,7,3,1,4,8,3,8,0,8,5,5,4,0,4,0,7,9,5,3,5,9,8,3,2,2,6,8,7,2,9,2,2,
%T 6,3,8,8,3,5,8,6,5,0,3,2,0,0,9,5,2,8,9,8,4,1,2,5,8,8,4,1,1,2,4,3,1,2,
%U 6,8,6,4,8,6,0,3,4,7,1,1,7,9,6,5,8,1,0,0,6,8,7,5,2,5,3,9,6,8,5
%N Decimal expansion of x>0 satisfying x^2-x*cos(x)=sin(x).
%C See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.1731483808554040795359832268729226388...
%t a = 1; b = -1; c = 1;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.17, 1.18}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199722 *)
%Y Cf. A199597.
%K nonn,cons
%O 1,3
%A _Clark Kimberling_, Nov 09 2011
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