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Smallest factorial containing exactly n 0's, or 0 if no such factorial exists.
1

%I #2 Oct 02 2013 15:47:17

%S 120,5040,0,479001600,6402373705728000,121645100408832000,

%T 2432902008176640000,1124000727777607680000,

%U 15511210043330985984000000,304888344611713860501504000000

%N Smallest factorial containing exactly n 0's, or 0 if no such factorial exists.

%C a(3)=0 since no factorial can contain just three zeros.

%e a(2)=5040, so 5040 is the smallest factorial containing exactly two 0's.

%Y Cf. A072417.

%K base,nonn

%O 1,1

%A _Shyam Sunder Gupta_, Jul 31 2002