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A199461 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=cos(x). 2

%I

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

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

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

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

%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.811110814248319762796549709756729617691031258...

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

%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, 1.81, 1.82}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199461 *)

%Y Cf. A199429.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 07 2011

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Last modified January 24 13:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)