A198556 - OEIS

%I #6 Feb 07 2025 16:44:05

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

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

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

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

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

%e x=0.90229597568737098167152699747985244211191...

%t a = 4; b = -1; c = 3;

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

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

%t r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198556 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011