A198925 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=3.

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

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

			1.07620777835467666618622787970834977831670...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198755.

Programs

Mathematica

a = 3; b = -1; 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}, WorkingPrecision -> 110]
RealDigits[r]  (* A198925 *)