A198842 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-1.

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

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=1.0297040007360545584116792679829069589455888...

Mathematica

a = 1; b = -4; c = -1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.02, 1.03}, WorkingPrecision -> 110]
RealDigits[r]  (* A198842 *)

Crossrefs

Cf. A198755.

Sequence in context: A318969 A021775 A258501 * A016596 A201616 A197017

Adjacent sequences: A198839 A198840 A198841 * A198843 A198844 A198845

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved