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A198415 Decimal expansion of x>0 having x^2=3*sin(x). 3

%I

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

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

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

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

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

%e x=1.72212511207672359941514007347177405819...

%t a = 1; b = 0; c = 3;

%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, 1.7, 1.8}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198415 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 24 2011

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)