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A198433 Decimal expansion of x > 0 having x^2-3*x = 3*sin(x). 2

%I #9 Aug 01 2021 11:29:56

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

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

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

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

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

%e 3.069950186948313147455115773883181611274...

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

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

%t Plot[{f[x], g[x]}, {x, -.2, 3.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198433 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 25 2011

%E a(92) onwards corrected by _Georg Fischer_, Aug 01 2021

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Last modified April 25 11:16 EDT 2024. Contains 371967 sequences. (Running on oeis4.)