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A198416 Decimal expansion of x>0 having x^2=4*sin(x). 2

%I #6 Mar 30 2012 18:57:54

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

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

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

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

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.9337537628270212533084756690906800565370...

%t a = 1; b = 0; c = 4;

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

%t Plot[{f[x], g[x]}, {x, -1, 2}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.93, 1.94}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198416 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 24 2011

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)