A199442 Decimal expansion of x>0 satisfying 2*x^2+2*x*sin(x)=3*cos(x).

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

Offset: 0

Author

Clark Kimberling, Nov 06 2011

Keywords

• nonn
• cons

Comments

See A199370 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.756321432095254744378797425250754254953980...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .75, .76}, WorkingPrecision -> 110]
RealDigits[r] (* A199442 *)