A118169 Minimum values of abs(n^n-x!) for given n.

0, 0, 2, 3, 136, 1915, 6336, 460663, 13148416, 91581111, 3772979200, 198133379411, 7608426080256, 52812321503747, 4709633119830016, 316248789972027375, 16013842065532911616, 296760465891270915823, 13494391336411560935424

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Example

3^3 = 27, the closest x! can get to 27 is 4! = 24, so a(3) = 3^3 - 4! = 3

Mathematica

Join[{0, 0}, With[{fc=Range[200]!}, Drop[Flatten[Table[Abs[n^n-Nearest[ fc, n^n]], {n, 18}]], 2]]] (* Harvey P. Dale, Jan 02 2016 *)

Crossrefs

Cf. A118167, A118170.

Sequence in context: A139129 A007608 A010343 * A066908 A057738 A234999

Adjacent sequences: A118166 A118167 A118168 * A118170 A118171 A118172

Keyword

easy,nonn

Author

Olaf Voß, Apr 13 2006

Status

approved