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A198917 Decimal expansion of x>0 satisfying 3*x^2+cos(x)=3. 2

%I #6 Mar 30 2012 18:57:56

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2+cos(x)=3.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.8887472429317410305961061776524010...

%t a = 3; b = 1; c = 3;

%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198917 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 31 2011

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Last modified April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)