a(n,m)  tabf head (staircase) for  A064364 (note the changed offset and the extra 0)

 Product of parts of partitions of n with only prime parts. 
 For n=0 one takes 1 in order to have row sums A002098(n) for n>=0.    
 For n=1 one takes 0 (not 1 like in A064364 in order to a have a paermutation of the positive integers) 
 because 1 is not a member of A001414.
 So, actually one should take offset 0 and include 0. Then one has a permutation of the nonnegative numbers.
 This changes sequence A064364 would be [1,0,2,3,4,5,6,8,9,...] 
  




   n\m      1        2        3        4        5        6        7        8        9     10    11    12  ...

   0        1        0        0        0        0        0        0        0        0      0     0     0
   1        0        0        0        0        0        0        0        0        0      0     0     0
   2        2        0        0        0        0        0        0        0        0      0     0     0
   3        3        0        0        0        0        0        0        0        0      0     0     0
   4        4        0        0        0        0        0        0        0        0      0     0     0       
   5        5        6        0        0        0        0        0        0        0      0     0     0
   6        8        9        0        0        0        0        0        0        0      0     0     0      
   7        7       10       12        0        0        0        0        0        0      0     0     0
   8       15       16       18        0        0        0        0        0        0      0     0     0
   9       14       20       24       27        0        0        0        0        0      0     0     0 
  10       21       25       30       32       36        0        0        0        0      0     0     0 
  11       11       28       40       45       48       54        0        0        0      0     0     0  
  12       35       42       50       60       64       72       81        0        0      0     0     0     
  13       13       22       56       63       75       80       90       96      108      0     0     0 
  14       33       49       70       84      100      120      128      135      144    162     0     0 
  15       26       44      105      112      125      126      150      160      180    192   216   243
   .                                                                                     
   .
   .
   n\m      1        2        3        4        5        6        7        8        9     10    11    12  ...


  For the partitons with only prime parts which have these products see arrays A116864 and A116865.
  Column m=1 sequence is  A056240(n),n>=2.
  The last nonvanishing numbers in each row give A000792(n), n>=2.

################################################# e.o.f.#####################################################