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A198426 Decimal expansion of x>0 having x^2+2x=4*sin(x). 2

%I #5 Mar 30 2012 18:57:54

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

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

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

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

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

%e x=1.1605918671900541573133082504330553363179713...

%t a = 1; b = 2; c = 4;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, 1.16, 1.17}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198426 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 25 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)