A198932 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1.

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

Offset: 0

Author

Clark Kimberling, Oct 31 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.670809501192074397261156378392474226015...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 3; b = -3; c = -1;
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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r] (* A198932 *)