A198996 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=1.

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

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=0.85988117523202644957804605263642834221555...

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, .85, .86}, WorkingPrecision -> 110]
RealDigits[r] (* A198996 *)

Crossrefs

Cf. A198755.

Sequence in context: A200487 A070473 A154210 * A316689 A087462 A168204

Adjacent sequences: A198993 A198994 A198995 * A198997 A198998 A198999

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved