DATA FILES

• Coefficients of Andrews spt-function
  spt(n) = the number of occurences of smallest parts in the partitions of n.
  For example,

  Partitions of 4  Number of smallest parts
  4                1
  3+1              1
  2+2              2
  2+1+1            2
  1+1+1+1          4
  

  spt(4)=1+1+2+2+4=10.
  FILES
  • sptcofs.txt
    Text file containing spt(n) for n=1 to n=10000.
    This file has 10000 lines one for each value of spt(n).
  • sptcofs.m
    This is a MAPLE m-file which contains the array sptcofs.
    EXAMPLE:

    > read "sptcofs.m":
    > sptcofs[5999];
       278941830700915838882974455560132543710354527039490199582717253860798628323895514520
    
    > ifactor(%,easy);
                                   3
                                (2)   (5)  (13)  (71)  (151) _c77_1
    
    

• Partition function
  p(n) = the number of partitions of n.
  For example, p(4)=5 since there are 5 partitions of 4:

  4
  3+1
  2+2
  2+1+1
  1+1+1+1
  

  
  FILES
  • ptncofs.txt
    Text file containing p(n) for n=1 to n=10000.
    This file has 10000 lines one for each value of p(n).
  • ptncofs.m
    This is a MAPLE m-file which contains the array ptncofs.
    EXAMPLE:

    > read "ptncofs.m":
    > ptncofs[5999];
    4595772182112790143084312200387343025849540044362698346833677237664902997364019500
    
    > ifactor(%,easy);
                                2     3
                             (2)   (5)   (13)  (353) _c76_1
    
    

• Overpartition function
  pb(n) = the number of overpartitions of n.
  An overpartition is partition in which the first occurence of a part may be overlined. For example, pb(3)=8 since there are 8 overpartitions of 3:

  3
  3*
  2+1
  2+1*
  2*+1
  2*+1*
  1+1+1
  1*+1+1
  

  (Overline parts are marked by *).
  FILES
  • optncofs.txt
    Text file containing pb(n) for n=1 to n=10000.
    This file has 10000 lines one for each value of pb(n).
  • optncofs.m
    This is a MAPLE m-file which contains the array optncofs.
    EXAMPLE:

    > read "optncofs.m":
    > optncofs[1996];
                  561516259751768382289813036527907885842788143179605073720
    
    > ifactor(%,easy);                
                                    3     7
                                 (2)   (3)   (5)  (17) _c51_1
    
    
    

The url of this page is http://www.math.ufl.edu/~fgarvan/data/index.html.
Created by F.G. Garvan (fgarvan@math.ufl.edu) on Wednesday, June 24, 2009.
Last update made Fri Jun 26 15:36:14 EDT 2009.

fgarvan@math.ufl.edu