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

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

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

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

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

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

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

%e x=0.718527148711188821145312579718268847631016...

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

%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, .71, .72}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199439 *)

%Y Cf. A199429.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011