A198560 Decimal expansion of x > 0 having 3*x^2-2*x = sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 26 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.951893102981406356951185395774192495402145469...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = -2; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .95, .96}, WorkingPrecision -> 110]
RealDigits[r] (* A198560 *)

Extensions

Offset corrected by Georg Fischer, Aug 01 2021