A198997 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=2.

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

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=0.9633642134825166666059993347899437523613300...

Mathematica

a = 4; b = -3; c = 2;
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, .96, .97}, WorkingPrecision -> 110]
RealDigits[r] (* A198997 *)

Crossrefs

Cf. A198755.

Sequence in context: A068925 A175616 A200232 * A271172 A019683 A020759

Adjacent sequences: A198994 A198995 A198996 * A198998 A198999 A199000

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved