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A109103
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).
4
4, 9, 288, 34560
OFFSET
2,1
EXAMPLE
34560! = 2! * 3! * 4! * 5! * 34559!, using five different factorials, so a(5)=34560.
KEYWORD
nonn
AUTHOR
Jud McCranie, Jun 19 2005
STATUS
approved