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 A198348 Decimal expansion of x>0 having 4*x^2=3*cos(x). 2

%I

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

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

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

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

%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.7431418476128724220804306955599...

%t a = 4; b = 0; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -1, 1}]

%t r = x /. FindRoot[f[x] == g[x], {x, .74, .75}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198348 *)

%Y Cf. A197737.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 23 2011

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Last modified December 9 01:52 EST 2021. Contains 349625 sequences. (Running on oeis4.)