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A198928 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=1. 2

%I

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=1.

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

%e x=0.872804178203908271748543389320514892195244...

%t a = 3; b = -2; c = 1;

%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, .87, .88}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198928 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 31 2011

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Last modified May 26 02:56 EDT 2020. Contains 334613 sequences. (Running on oeis4.)