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Search: id:A108603
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| A108603 |
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a(n)! can be written as the product of smaller distinct factorials in more than one way. |
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+0
1
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OFFSET
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0,1
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COMMENT
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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;
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EXAMPLE
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34560! = 34559! * 6! * 4! * 2! = 34559! * 5! * 4! * 3! * 2!
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CROSSREFS
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Cf. A075082, A000142.
Sequence in context: A126680 A058174 A006435 this_sequence A053468 A008272 A015509
Adjacent sequences: A108600 A108601 A108602 this_sequence A108604 A108605 A108606
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net), Jun 13 2005
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