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Search: id:A060738
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| A060738 |
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Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!. |
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+0
4
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| 0, 0, 0, 0, 0, 0, 0, 0, 3, 4, 5, 12, 51, 92, 225, 340, 573, 1325, 2334, 6024, 8724, 13130, 21601, 46169, 67213, 106427, 178014, 242104, 338499, 727248, 988029, 1924615
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OFFSET
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0,9
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FORMULA
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a(n)=A060763(n!)
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EXAMPLE
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For n up to 7 all divisor differences of n! are also divisors of n!. For n=8, there are 3 divisor differences of 8!=40320 which are not divisors of 8!, namely 27, 54, and 108.
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MATHEMATICA
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a[n_ ] := Length[Complement[Drop[d=Divisors[n! ], 1]-Drop[d, -1], d]]
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CROSSREFS
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Cf. A000142, A027423, A060737, A060742, A060763.
Sequence in context: A141290 A010752 A049929 this_sequence A090651 A062201 A049895
Adjacent sequences: A060735 A060736 A060737 this_sequence A060739 A060740 A060741
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KEYWORD
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more,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 25 2001
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Jan 22 2002
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