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Numbers n such that n! is the product of exactly four smaller factorials.
10

%I #9 Sep 02 2013 12:57:35

%S 8,9,24,72,96,216,288,480,864,1152,1440,2880,3456,4320,5760,8640,

%T 13824,17280,20160,25920,28800,34560,60480,69120,86400

%N Numbers n such that n! is the product of exactly four smaller factorials.

%e 86400! = 3! * 5! * 5! * 86399!, so 86400 is in the sequence.

%Y Cf. A034878, A001013, A003135, A058295, A075082, A109095, A109096.

%K nonn

%O 1,1

%A _Jud McCranie_, Jun 19 2005

%E Definition corrected by _Jon E. Schoenfield_, Jul 02 2010