A199780 Decimal expansion of x>0 satisfying 2*x^2-3*x*cos(x)=sin(x).

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

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

			1.094187451479344881855560890902485166...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199597.

Programs

Mathematica

a = 2; b = -3; c = 1;
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, 1.09, 1.10}, WorkingPrecision -> 110]
RealDigits[r]   (* A199780 *)