A198995 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-1.

6, 0, 5, 5, 2, 0, 1, 2, 3, 4, 6, 2, 2, 5, 3, 5, 2, 3, 9, 5, 8, 2, 9, 0, 7, 0, 5, 9, 6, 5, 7, 4, 3, 8, 9, 7, 5, 7, 3, 8, 4, 9, 3, 0, 3, 7, 7, 2, 4, 0, 4, 8, 2, 8, 2, 3, 8, 4, 3, 5, 8, 5, 6, 0, 8, 2, 1, 2, 9, 4, 8, 5, 0, 1, 1, 2, 2, 2, 9, 1, 5, 6, 2, 8, 0, 1, 5, 4, 5, 6, 7, 2, 6, 8, 4, 0, 6, 6, 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=0.6055201234622535239582907059657438975738493037...

Mathematica

a = 4; b = -3; c = -1;
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, .60, .61}, WorkingPrecision -> 110]
RealDigits[r] (* A198995 *)

Crossrefs

Cf. A198755.

Sequence in context: A165954 A340576 A104288 * A168218 A348359 A153754

Adjacent sequences: A198992 A198993 A198994 * A198996 A198997 A198998

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved