%I #9 Jun 20 2018 01:31:27

%S 0,0,9,64,1900,5184,695310,15089664,346348629,8189440000,170553548176,

%T 4519967588352,202522159449675,8500218417954816,265594041953296875,

%U 3543051899458551808,454740628232312103872,5853583711033675481088

%N Remainder when (n!)^2 is divided by n^n.

%H Harry J. Smith, <a href="/A064546/b064546.txt">Table of n, a(n) for n = 1..100</a>

%F a(n) = (n!)^2 mod n^n.

%e a(5) = 1900 because (5!)^2 = 14400 = 1900 (mod 5^5 = 3125).

%o (PARI) { for (n=1, 100, write("b064546.txt", n, " ", (n!)^2 % n^n) ) } \\ _Harry J. Smith_, Sep 18 2009

%Y Cf. A063709.

%K easy,nonn

%O 1,3

%A _Floor van Lamoen_, Oct 09 2001