%I #4 Jan 02 2016 12:12:41
%S 0,0,2,3,136,1915,6336,460663,13148416,91581111,3772979200,
%T 198133379411,7608426080256,52812321503747,4709633119830016,
%U 316248789972027375,16013842065532911616,296760465891270915823,13494391336411560935424
%N Minimum values of abs(n^n-x!) for given n.
%e 3^3 = 27, the closest x! can get to 27 is 4! = 24, so a(3) = 3^3 - 4! = 3
%t 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 *)
%Y Cf. A118167, A118170.
%K easy,nonn
%O 0,3
%A _Olaf Voß_, Apr 13 2006