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%I #13 Mar 25 2018 09:38:02
%S 1,4,3,16,5,576,7,256,81,25600,11,497664,13,802816,91125,65536,17,
%T 1719926784,19,327680000,6751269,507510784,23,495338913792,15625,
%U 5670699008,1594323,161128382464,29,401224520171520000000,31
%N Greatest common divisor of (n+2)! and n^n.
%H David A. Corneth, <a href="/A062776/b062776.txt">Table of n, a(n) for n = 1..1259</a>
%t Table[GCD[(n+2)!,n^n],{n,40}] (* _Harvey P. Dale_, Mar 25 2018 *)
%o (PARI) j=[]; for(n=1,75,j=concat(j,gcd((n+2)!,n^n))); j
%o (PARI) val(n, p) = my(r=0); while(n, r+=n\=p); r
%o a(n) = my(f = factor(n)[, 1]~); prod(i=1, #f, f[i] ^ min(n, val(n + 2, f[i]))) \\ _David A. Corneth_, Mar 25 2018
%K nonn,easy
%O 1,2
%A _Jason Earls_, Jul 18 2001