A198869 Decimal expansion of x>0 satisfying 2*x^2+2*cos(x)=3.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.96442044685110339926035690912472720651433...

Mathematica

a = 2; 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, .94, .95}, WorkingPrecision -> 110]
RealDigits[r] (* A198869 *)

Crossrefs

Cf. A198755.

Sequence in context: A309070 A010544 A343308 * A094130 A201755 A021513

Adjacent sequences: A198866 A198867 A198868 * A198870 A198871 A198872

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved