%I #11 Aug 01 2021 11:32:26

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

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

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

%N Decimal expansion of x > 0 satisfying 4*x^2-3*x = 4*sin(x).

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

%e 1.43892808772659755501047779900152799954820527953...

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

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

%t Plot[{f[x], g[x]}, {x, -.2, 1.5}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.43, 1.44}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198576 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 27 2011

%E a(98) onwards corrected by _Georg Fischer_, Aug 01 2021