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A109103 Smallest a(n) so 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 (list; graph; refs; listen; history; internal format)
OFFSET

2,1

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 (JudMcCranie(AT)ugaalum.uga.edu), Jun 19 2005

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Last modified February 15 17:46 EST 2012. Contains 205835 sequences.