A198994 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-2.

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

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=0.42728343876885536400544778356981172491406...

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, .42, .43}, WorkingPrecision -> 110]
RealDigits[r]  (* A198994 *)

Crossrefs

Cf. A198755.

Sequence in context: A260590 A010648 A272335 * A368664 A182364 A021238

Adjacent sequences: A198991 A198992 A198993 * A198995 A198996 A198997

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved