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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

%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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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)