A198505 Decimal expansion of x>0 having 4*x^2+x=2*sin(x).

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

			0.24501240424626150140824530683681113444...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198414.

Programs

Mathematica

a = 4; b = 1; c = 2;
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] (* A198505 *)