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A198557 Decimal expansion of x>0 having 4*x^2-x=4*sin(x). 2

%I

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

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

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

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

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

%e x=1.069858480767565425542345626804118021627263...

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

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

%t Plot[{f[x], g[x]}, {x, -.1, 1.2}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198557 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 26 2011

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Last modified February 26 21:58 EST 2020. Contains 332295 sequences. (Running on oeis4.)