A198433 Decimal expansion of x > 0 having x^2-3*x = 3*sin(x).

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

Offset: 1

Author

Clark Kimberling, Oct 25 2011

Keywords

• nonn
• cons

Comments

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

Examples

			3.069950186948313147455115773883181611274...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 1; b = -3; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 3.5}]
r = x /. FindRoot[f[x] == g[x], {x, 3, 3.1}, WorkingPrecision -> 110]
RealDigits[r] (* A198433 *)

Extensions

a(92) onwards corrected by Georg Fischer, Aug 01 2021