A198930 Decimal expansion of x>0 satisfying 3*x^2-2*cos(x)=3.

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

Offset: 1

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

			1.132630849482780708087800651572877898960265...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 3; b = -2; c = 3;
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, 1.1, 1.2}, WorkingPrecision -> 110]
RealDigits[r] (* A198930 *)