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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A093594 Farey-factorial numerators, including duplicates. 2
1, 1, 2, 2, 3, 4, 6, 6, 8, 12, 16, 18, 24, 24, 30, 40, 48, 60, 72, 80, 90, 96, 120, 120, 144, 180, 240, 288, 360, 432, 480, 540, 576, 600, 720, 720, 840, 1008, 1260, 1440, 1680, 2016, 2160, 2520, 2880, 3024, 3360, 3600, 3780, 4032, 4200, 4320, 5040, 5040, 5760 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
The only repeated terms are 1!, 2!, 3!, etc. Deleting one of each leaves A092824. When written as an array with (row n)=n!*(Farey fractions of order n), The row sums are given by A093593. The n-th alternating row sum is n!/2, for n>=2. (2/n!)*(n-th row sum)=A005728(n)=number of Farey fractions of order n.
LINKS
EXAMPLE
Put the positive Farey fractions of order n into row n,
and multiply by n!:
1
1 2
2 3 4 6
6 8 12 16 18 24 ...
Link the rows to form the sequence.
CROSSREFS
Sequence in context: A101344 A152048 A046934 * A008806 A356607 A366843
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Apr 03 2004
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 March 29 09:32 EDT 2024. Contains 371268 sequences. (Running on oeis4.)