A199430 Decimal expansion of x>0 satisfying x^2+x*sin(x)=2*cos(x).

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

Offset: 0

Author

Clark Kimberling, Nov 06 2011

Keywords

• nonn
• cons

Comments

See A199429 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.84085459171733283454408810849983633271467704422...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 1; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]
RealDigits[r]  (* A199430 *)