%I #8 Nov 29 2017 03:40:46
%S 4,9,288,34560
%N Smallest a(n) such that a(n)! can be expressed as the product of smaller factorials, using n distinct factorials greater than 1 (with repetitions allowed).
%e 34560! = 2! * 3! * 4! * 5! * 34559!, using five different factorials, so a(5)=34560.
%Y Cf. A034878, A001013, A003135, A058295, A075082, A109095, A109096, A109097, A109098, A109099, A109100, A109101, A109102.
%K nonn
%O 2,1
%A _Jud McCranie_, Jun 19 2005
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