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

%I #9 Aug 01 2021 09:21:05

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

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

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

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

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

%e 3.05596872721475790753928563754844306988313638944...

%t a = 1; b = -3; c = 2;

%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] (* A198432 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 25 2011

%E a(86) onwards corrected by _Georg Fischer_, Aug 01 2021