A198500 Decimal expansion of x > 0 having 3*x^2+x = 4*sin(x).

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

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

			0.84640569789320609999476752064284462...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 3; b = 1; 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, .84, .85}, WorkingPrecision -> 110]
RealDigits[r] (* A198500 *)

Extensions

a(97) onwards corrected by Georg Fischer, Aug 01 2021