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A198999 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=4. 2

%I #7 Aug 09 2021 07:56:26

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

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

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

%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=1.14458271581026225875248478655326916317506306496160...

%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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198999 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 01 2011

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Last modified July 15 11:27 EDT 2024. Contains 374332 sequences. (Running on oeis4.)