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 A060737 Number of distinct differences between consecutive divisors of n! (ordered by size). 2
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n)=A060682(n!) EXAMPLE 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. MATHEMATICA a[n_ ] := Length[Union[Drop[d=Divisors[n! ], 1]-Drop[d, -1]]] Table[Length[Union[Differences[Divisors[n!]]]], {n, 0, 40}] (* Harvey P. Dale, Nov 22 2021 *) CROSSREFS Cf. A000142, A060682, A060738, A060742. Sequence in context: A080004 A176915 A060742 * A266647 A085683 A330737 Adjacent sequences: A060734 A060735 A060736 * A060738 A060739 A060740 KEYWORD nonn AUTHOR Labos Elemer, Apr 25 2001 EXTENSIONS Edited by Dean Hickerson, Jan 22 2002 More terms from Ryan Propper, Mar 22 2006 STATUS approved

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Last modified December 8 03:48 EST 2022. Contains 358672 sequences. (Running on oeis4.)