A198569 - OEIS

%I #10 Apr 23 2025 12:45:39

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

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

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

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

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 2.21872937487563826733678258683762571892016...

%t a = 2; 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, 2.4}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.21, 2.22}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198569 *)

%Y Cf. A198414.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Oct 27 2011