A198999 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=4.

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

Offset

1,3

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.14458271581026225875248478655326916317506306496160...

Mathematica

a = 4; b = -3; c = 4;
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, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]  (* A198999 *)

Crossrefs

Cf. A198755.

Sequence in context: A170934 A079999 A058619 * A095945 A072231 A281375

Adjacent sequences: A198996 A198997 A198998 * A199000 A199001 A199002

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved