A198576 Decimal expansion of x > 0 satisfying 4*x^2-3*x = 4*sin(x).

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

Offset: 1

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

			1.43892808772659755501047779900152799954820527953...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 4; b = -3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.43, 1.44}, WorkingPrecision -> 110]
RealDigits[r] (* A198576 *)

Extensions

a(98) onwards corrected by Georg Fischer, Aug 01 2021