A198543 Decimal expansion of x>0 having 4*x^2+3x=4*sin(x).

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

Offset: 0

Author

Clark Kimberling, Oct 26 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.2403960801443653959132371766170776997176...
		

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, .4}]
r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
RealDigits[r] (* A198543 *)