A198610 Decimal expansion of x > 0 satisfying 2*x^2+3*x = 4*sin(x).

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

Offset: 0

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

			0.43696012554088528354393284044261096305311...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 2; b = 3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, .5}]
r = x /. FindRoot[f[x] == g[x], {x, .43, .44}, WorkingPrecision -> 110]
RealDigits[r](* A198610 *)

Extensions

a(87) onwards corrected by Georg Fischer, Aug 01 2021