A198567 Decimal expansion of x>0 satisfying 2*x^2-3x=2*sin(x).

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

Offset: 1

Author

Clark Kimberling, Oct 27 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.96839750785873284138289918460169624078672...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 2; b = -3; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.96, 1.97}, WorkingPrecision -> 110]
RealDigits[r] (* A198567 *)