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

2,1

Links

Table of n, a(n) for n=2..5.

Example

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.

Sequence in context: A035126 A178454 A051671 * A029734 A085065 A068708

Adjacent sequences: A109100 A109101 A109102 * A109104 A109105 A109106

Keyword

nonn

Author

Jud McCranie, Jun 19 2005

Status

approved