A199279 Decimal expansion of x<0 satisfying 3*x^2+x*cos(x)=1.

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

Offset: 0

Author

Clark Kimberling, Nov 04 2011

Keywords

• nonn
• cons

Comments

See A199170 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			negative: -0.7165503839061782023923880301835513...
positive:  0.4462598117717659562961701211990923...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199170.

Programs

Mathematica

Remove["Global`*"];
a = 3; b = 1; c = 1;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
RealDigits[r]    (* A199279 *)
r = x /. FindRoot[f[x] == g[x], {x, .44, .45}, WorkingPrecision -> 110]
RealDigits[r]    (* A199280 *)