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Search: id:A060737
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| A060737 |
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Number of distinct differences between consecutive divisors of n! (ordered by size). |
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+0
3
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| 0, 0, 1, 2, 4, 9, 15, 27, 44, 72, 116, 230, 379, 716, 1154, 1858, 2589, 5014, 7299, 15276, 21901, 33146, 52298, 102918, 136647, 200669, 327572, 432396, 596869, 1220172, 1603092, 3074018, 3752018, 5433507, 8555035, 11952469, 14590378
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OFFSET
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0,4
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FORMULA
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a(n)=A060682(n!)
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EXAMPLE
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For n=4, n!=24; divisors={1,2,3,4,6,8,12,24}; differences={1,1,1,2,2,4,12}, distinct differences={1,2,4,12}, so a(4)=4.
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MATHEMATICA
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a[n_ ] := Length[Union[Drop[d=Divisors[n! ], 1]-Drop[d, -1]]]
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CROSSREFS
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Cf. A000142, A060682, A060738, A060742.
Sequence in context: A072846 A080004 A060742 this_sequence A083270 A000879 A014290
Adjacent sequences: A060734 A060735 A060736 this_sequence A060738 A060739 A060740
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KEYWORD
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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
More terms from Ryan Propper (rpropper(AT)stanford.edu), Mar 22 2006
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