: 0 1 2 3 4  5  6  7  8   9  10  11  12   13   14   15    16    17    18    19     20     21     22      23      24      25       26       27       28       29        30        31        32
 15:                                                    1                                                                                                                                       
 14:                                               1         16                                                                                                                                 
 13:                                          1        15         136                                                                                                                           
 12:                                     1        14        120         816                                                                                                                     
 11:                                 1       13       105         680        3876                                                                                                               
 10:                             1      12        91        560        3060        15504                                                                                                        
  9:                         1      11       78       455        2380       11628         54264                                                                                                 
  8:                     1      10      66       364       1820        8568        38760        170544                                                                                          
  7:                  1      9      55      286      1365        6188       27132        116280         490314                                                                                  
  6:               1     8      45     220      1001       4368       18564        77520        319770         1307504                                                                          
  5:            1     7     36     165      715      3003       12376       50388        203490         817190         3268760                                                                  
  4:         1     6    28     120     495      2002       8008       31824       125970        497420         1961256          7726160                                                         
  3:       1    5    21     84     330     1287      5005       19448       75582        293930        1144066         4457400          17383860                                                
  2:     1   4    15    56     210     792      3003      11440       43758       167960        646646         2496144          9657700          37442160                                       
  1:   1   3   10    35    126     462     1716      6435       24310       92378        352716        1352078         5200300          20058300          77558760                              
  0: 1   2   6    20    70     252     924      3432      12870       48620       184756        705432         2704156         10400600          40116600          155117520                    
 -1:   1   3   10    35    126     462     1716      6435       24310       92378        352716        1352078         5200300          20058300          77558760           300540195          
 -2:     1   4    15    56     210     792      3003      11440       43758       167960        646646         2496144          9657700          37442160          145422675           565722720
 -3:       1    5    21     84     330     1287      5005       19448       75582        293930        1144066         4457400          17383860          67863915           265182525          
 -4:         1     6    28     120     495      2002       8008       31824       125970        497420         1961256          7726160          30421755          119759850                    
 -5:            1     7     36     165      715      3003       12376       50388        203490         817190         3268760          13037895          51895935                              
 -6:               1     8      45     220      1001       4368       18564        77520        319770         1307504          5311735          21474180                                       
 -7:                  1      9      55      286      1365        6188       27132        116280         490314         2042975           8436285                                                
 -8:                     1      10      66       364       1820        8568        38760        170544          735471          3124550                                                         
 -9:                         1      11       78       455        2380       11628         54264         245157         1081575                                                                  
-10:                             1      12        91        560        3060        15504         74613          346104                                                                          
-11:                                 1       13       105         680        3876         20349         100947                                                                                  
-12:                                     1        14        120         816         4845         26334                                                                                          
-13:                                          1        15         136         969          5985                                                                                                 
-14:                                               1         16         153         1140                                                                                                        
-15:                                                    1          17         171                                                                                                               
-16:                                                          1          18                                                                                                                     
-17:                                                                1                                                                                                                           
   : 0 1 2 3 4  5  6  7  8   9  10  11  12   13   14   15    16    17    18    19     20     21     22      23      24      25       26       27       28       29        30        31        32