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 A108603 Numbers n such that n! can be written as the product of smaller distinct factorials in more than one way. 0
 10, 720, 1440, 17280, 34560 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS No other terms < 65000. This is a subsequence of A075082. All known members of the sequence exploit the fact that 6! = 5! * 3! (they must have 6! without either 5! or 3! in one solution). Factorizations: 10 = 2*5; 720 = 2^4 * 3^2 * 5; 1440 = 2^5 * 3^2 * 5; 17280 = 2^7 * 3^3 * 5; 34560 = 2^8 * 3^3 * 5; LINKS EXAMPLE 34560! = 34559! * 6! * 4! * 2! = 34559! * 5! * 4! * 3! * 2! CROSSREFS Cf. A075082, A000142. Sequence in context: A174061 A058174 A006435 * A053468 A008272 A015509 Adjacent sequences:  A108600 A108601 A108602 * A108604 A108605 A108606 KEYWORD nonn,more AUTHOR Jud McCranie, Jun 13 2005 STATUS approved

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Last modified October 23 08:57 EDT 2019. Contains 328345 sequences. (Running on oeis4.)