W. Lang, M. Sjodahl,  Mar 06 2009

A145573 tabf array: characteristic partition array for partitons without part 1. 
The array is filled with zeros for k>=p(n)= A000041(n).

Partitions of n listed in Abramowitz-Stegun (A-St) order p. 831-2 (see the main page for an A-number 
with the reference).

 
   n\k        1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18  19  20  21  22 ... 
                                                                                                              
          
   1          0 | 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 
     
   2          1   0 | 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 
      
   3          1   0   0 | 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0
    
   4          1   0   1   0   0 | 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0   0  
 
   5          1   0   1   0   0   0   0 | 0   0   0   0   0   0   0   0   0   0   0   0   0   0   0 
       
   6          1   0   1   1   0   0   1   0   0   0   0 | 0   0   0   0   0   0   0   0   0   0   0  
 
   7          1   0   1   1   0   0   0   1   0   0   0   0   0   0   0 | 0   0   0   0   0   0   0  

   8          1   0   1   1   1   0   0   0   1   1   0   0   0   0   1   0   0   0   0   0   0   0 |
   .
   .
   .
   
   n\k        1   2   3   4   5   6   7   8   9  10  11  12  13  14  15  16  17  18  19  20  21  22 .. 
         
       
The next two rows, for n=9 and n=10, are (for k=1..p(n)=A000041(n)):

n=9:  [1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0].

n=10: [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0].


The row sums give A002865(n), n>=1: [0, 1, 1, 2, 2, 4, 4, 7, 8, 12,...]


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