A198425 Decimal expansion of x>0 having x^2+2x=3*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 25 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.7362321505547481995608918925890768129939...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 1; b = 2; c = 3;
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, .73, .74}, WorkingPrecision -> 110]
RealDigits[r] (* A198425 *)

Extensions

a(89) onwards corrected by Georg Fischer, Aug 01 2021