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A198998 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=3. 2

%I #5 Mar 30 2012 18:57:56

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

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

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

%N Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=3.

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

%e x=1.057493617268840365497952683658561505151130...

%t a = 4; b = -3; 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, 1.05, 1.06}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198998 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 01 2011

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Last modified March 29 05:43 EDT 2024. Contains 371264 sequences. (Running on oeis4.)