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%I #5 Mar 30 2012 18:57:54
%S 1,4,9,8,4,2,8,5,7,0,1,4,1,0,2,6,2,8,9,1,0,5,6,5,2,1,0,1,2,4,4,0,1,9,
%T 8,3,8,5,1,8,3,8,5,4,4,1,5,8,9,3,8,6,7,8,9,8,1,8,3,7,3,4,5,2,6,9,4,7,
%U 2,8,3,1,2,2,0,3,2,7,0,7,8,5,4,9,5,7,4,3,9,6,4,7,3,4,0,2,2,6,4
%N Decimal expansion of x>0 having 2*x^2-x=3*sin(x).
%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.4984285701410262891056521012440198385183...
%t a = 2; b = -1; c = 3;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
%t Plot[{f[x], g[x]}, {x, -.1, 2}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.49, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A198548 *)
%Y Cf. A198414.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 26 2011
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