login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Table of n, a(n) for n=0..36.

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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