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a(n) = (n^n mod n!)/n.
1

%I #23 Feb 25 2017 17:54:07

%S 0,0,1,4,1,96,289,512,25281,265600,2391001,36972288,405301681,

%T 21023744,54720993825,1244339070976,13293650868481,324381631315968,

%U 2266027617084841,14819020931072000,896776708870156401

%N a(n) = (n^n mod n!)/n.

%H G. C. Greubel, <a href="/A211341/b211341.txt">Table of n, a(n) for n = 1..445</a>

%F a(n) = A063709(n)/n. - _Michel Marcus_, Feb 25 2017

%t Table[Mod[n^n, n!]/n, {n,50}] (* _G. C. Greubel_, Feb 25 2017 *)

%Y Cf. A063709.

%K nonn

%O 1,4

%A _Alexander R. Povolotsky_, Mar 10 2013