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%I #5 Mar 30 2012 18:57:57
%S 7,3,1,3,0,6,0,7,2,6,9,9,4,8,0,6,1,6,8,6,0,5,5,7,1,0,6,4,2,2,8,8,1,9,
%T 4,9,9,4,3,4,4,4,5,0,8,8,9,0,1,4,8,9,2,6,0,2,0,0,4,4,3,1,9,6,9,7,5,9,
%U 7,8,8,3,8,1,3,5,6,3,5,4,1,3,4,6,0,2,2,8,2,9,3,8,5,0,1,6,6,4,5
%N Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=2.
%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.731306072699480616860557106422881949943444...
%t a = 1; b = 3; c = 2;
%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .73, .74}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199377 *)
%Y Cf. A199370.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011
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