[seqfan] Subsets with prime sums again - Part 1

[Christopher Gribble]

Here is a triangle whose column sums give Zak's sequence

4, 26, 444, 11998, 382716, 15844060, .

 

Prime   Prime       Frequency with which different sum

Index               values occur

                N   2      3      4   Total

                                   

 1        2         0      0      0      0

 2        3         1      0      0      1

 3        5         2      0      0      2

 4        7         1      1      0      2

 5       11         0      5      1      6

 6       13                7      3

 7       17                7     11

 8       19                5     18

 9       23                1     38

10       29                0     71

11       31                      79

12       37                      79

13       41                      61

14       43                      50

15       47                      27

16       53                       6

17       59                       0

 

Total               4     26    444

 

Neither the triangle nor the row total is in the OEIS.

 

The email exceeds 40KB if frequencies are supplied for N > 4.

 

Best regards,

 

Chris Gribble