A199739 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=4*sin(x).

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

Offset: 1

Author

Clark Kimberling, Nov 10 2011

Keywords

• nonn
• cons

Comments

See A199597 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			1.44098516321037377845138045423482842700444...
		

Links

• Matthew House, Table of n, a(n) for n = 1..10000
• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

Mathematica

a = 2; b = -1; c = 4;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.44, 1.45}, WorkingPrecision -> 110]
RealDigits[r]   (* A199739 *)

Extensions

Definition corrected by Matthew House, Dec 24 2016