A198844 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-3.

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

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=0.582813003471813832199948801104970598587534532...

Mathematica

a = 1; b = -4; c = -3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
RealDigits[r] (* A198844 *)

Crossrefs

Cf. A198755.

Sequence in context: A227417 A260061 A199379 * A156035 A284697 A361221

Adjacent sequences: A198841 A198842 A198843 * A198845 A198846 A198847

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved