A198618 Decimal expansion of x>0 satisfying 3*x^2+3x=4*sin(x).

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

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

			0.311829749684476436758989934790245116826370127...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, .4}]
r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110]
RealDigits[r](* A198618 *)