A198615 Decimal expansion of x>0 satisfying 3*x^2+2x=4*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 28 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.590515737939558964628871737819338303048...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 2; c = 4;
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, .59, .6}, WorkingPrecision -> 110]
RealDigits[r](* A198615 *)