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, 9, 288, 34560

Offset: 2

Author

Jud McCranie, Jun 19 2005

Keywords

• nonn

Examples

			34560! = 2! * 3! * 4! * 5! * 34559!, using five different factorials, so a(5)=34560.
		

Crossrefs

Cf. A034878, A001013, A003135, A058295, A075082, A109095, A109096, A109097, A109098, A109099, A109100, A109101, A109102.