A198886 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=3.

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

Offset

1,2

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=1.374675343934681899630156657323758589155...

Mathematica

a = 2; b = -4; c = 3;
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, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r]  (* A198886 *)

Crossrefs

Cf. A198755.

Sequence in context: A019831 A199733 A193625 * A305202 A340013 A192265

Adjacent sequences: A198883 A198884 A198885 * A198887 A198888 A198889

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved