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A198986 Decimal expansion of x>0 satisfying 4*x^2+3*cos(x)=4. 2

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

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

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

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

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

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

%e x=0.626419244382338238284604515439725118600333...

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

%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, .62, .63}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198986 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 01 2011

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Last modified September 12 14:14 EDT 2024. Contains 375851 sequences. (Running on oeis4.)