A199451 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=3*cos(x).

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

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

			0.69083618120542648136837155873197312749631762...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199429.

Programs

Mathematica

a = 3; 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, .69, .70}, WorkingPrecision -> 110]
RealDigits[r] (* A199451 *)