A198499 Decimal expansion of x > 0 having 3*x^2+x = 3*sin(x).

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

Offset: 0

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

			0.60648105654655170006150508539830080...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .6, .61}, WorkingPrecision -> 110]
RealDigits[r]  (* A198499 *)

Extensions

a(90) onwards corrected by Georg Fischer, Aug 01 2021