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A198542 Decimal expansion of x<0 having 4*x^2+3x=2*sin(x). 2

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

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

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

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

%N Decimal expansion of x<0 having 4*x^2+3x=2*sin(x).

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

%e x=-0.2554188599376081010076228109491642434...

%t a = 4; b = 3; c = 2;

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

%t Plot[{f[x], g[x]}, {x, -.5, .2}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198542 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)