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Smallest factorial containing exactly n 9's.
1

%I #4 Oct 02 2013 15:47:16

%S 479001600,39916800,51090942171709440000,

%T 8841761993739701954543616000000,

%U 295232799039604140847618609643520000000,5502622159812088949850305428800254892961651752960000000000,371993326789901217467999448150835200000000

%N Smallest factorial containing exactly n 9's.

%e a(2)=39916800 so 39916800 is the smallest factorial containing exactly two 9's.

%t With[{fs=Range[100]!},Flatten[Table[Select[fs,DigitCount[#,10,9]==n&,1],{n,10}]]] (* _Harvey P. Dale_, Mar 12 2013 *)

%K base,nonn

%O 1,1

%A _Shyam Sunder Gupta_, Jul 30 2002

%E More terms from _Harvey P. Dale_, Mar 12 2013