A198819 Decimal expansion of x>0 satisfying x^2-cos(x)=4.

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

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=1.91402061902598539119396383017109804293795997...

Mathematica

a = 1; b = -1; c = 4;
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, 1.9, 1.92}, WorkingPrecision -> 110]
RealDigits[r]  (* A198819 *)

Crossrefs

Cf. A198755.

Sequence in context: A239121 A019875 A248557 * A176520 A011462 A335533

Adjacent sequences: A198816 A198817 A198818 * A198820 A198821 A198822

Keyword

nonn,cons

Author

Clark Kimberling, Oct 30 2011

Status

approved