A198581 Decimal expansion of x > 0 satisfying 3*x^2-4*x = 3*sin(x).

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

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

			1.852057182236264653607195402264941415694580012...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = -4; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 2}]
r = x /. FindRoot[f[x] == g[x], {x, 1.8, 1.9}, WorkingPrecision -> 110]
RealDigits[r] (* A198581 *)

Extensions

Offset corrected by Georg Fischer, Aug 01 2021