A198937 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-2.

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

Offset: 0

Author

Clark Kimberling, Nov 01 2011

Keywords

• nonn
• cons

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			0.6367141741042367138642090717584528797324883...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 3; b = -4; c = -2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .63, .64}, WorkingPrecision -> 110]
RealDigits[r] (* A198937 *)