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Search: id:A165899
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| A165899 |
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Residue of n! after successive divisions by factors greater than n |
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+0 1
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| 1, 2, 1, 4, 2, 1, 7, 2, 12, 5, 1, 18, 9, 1, 21
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OFFSET
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1,2
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EXAMPLE
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Example: For n=8, a(8)=2 because: 8!=40320 is divisible by 9 with a quotient of 4480 4480 is divisible by 10 with a quotient of 448 448 is not divisible by 11, 12 or 13, but is divisible by 14 with a quotient of 32 32 is not divisible by 15, but is divisible by 16 with a quotient of 2 2 is the final residue of the sequence since 16>2 therefore a(8)=2
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CROSSREFS
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A000142
Sequence in context: A035607 A059370 A084534 this_sequence A104582 A133938 A074586
Adjacent sequences: A165896 A165897 A165898 this_sequence A165900 A165901 A165902
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KEYWORD
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more,nonn
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AUTHOR
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Sergio Pimentel (ferdiego(AT)suddenlink.com), Sep 29 2009
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