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A198544 Decimal expansion of x<0 having 4*x^2+4x=sin(x). 2

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

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

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

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

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

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

%e x=-0.77423889175639132042740361973850...

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

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

%t Plot[{f[x], g[x]}, {x, -1, .42}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198544 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)