N =     0
                   0
                   1
 
 N =     1
                   0         1
                   1         1
 
 N =     2
                   0         1         2
                   1         2         1
 
 N =     3
                   0         1         2         3
                   1         3         3         1
 
 N =     4
                   0         1         2         3         4
                   1         4         6         4         1
 
 N =     5
                   0         1         2         3         4         5
                   1         5        10        10         5         1
 
 N =     6
                   0         1         2         3         4         5
                   1         6        15        20        15         6
 
                             6
                             1
 
 N =     7
                   0         1         2         3         4         5
                   1         7        21        35        35        21
 
                             6         7
                             7         1
 
 N =     8
                   0         1         2         3         4         5
                   1         8        28        56        70        56
 
                             6         7         8
                            28         8         1
 
 N =     9
                   0         1         2         3         4         5
                   1         9        36        84       126       126
 
                             6         7         8         9
                            84        36         9         1
 
 N =    10
                   0         1         2         3         4         5
                   1        10        45       120       210       252
 
                             6         7         8         9        10
                           210       120        45        10         1
 


 N =    11
                   0         1         2         3         4         5
                   1        11        55       165       330       462
 
                             6         7         8         9        10
                           462       330       165        55        11
 
                            11
                             1
 
 N =    12
                   0         1         2         3         4         5
                   1        12        66       220       495       792
 
                             6         7         8         9        10
                           924       792       495       220        66
 
                            11        12
                            12         1
 
 N =    13
                   0         1         2         3         4         5
                   1        13        78       286       715      1287
 
                             6         7         8         9        10
                          1716      1716      1287       715       286
 
                            11        12        13
                            78        13         1
 
 N =    14
                   0         1         2         3         4         5
                   1        14        91       364      1001      2002
 
                             6         7         8         9        10
                          3003      3432      3003      2002      1001
 
                            11        12        13        14
                           364        91        14         1
 
 N =    15
                   0         1         2         3         4         5
                   1        15       105       455      1365      3003
 
                             6         7         8         9        10
                          5005      6435      6435      5005      3003
 
                            11        12        13        14        15
                          1365       455       105        15         1
 











 N =    16
                   0         1         2         3         4         5
                   1        16       120       560      1820      4368
 
                             6         7         8         9        10
                          8008     11440     12870     11440      8008
 
                            11        12        13        14        15
                          4368      1820       560       120        16
 
                            16
                             1
 
 N =    17
                   0         1         2         3         4         5
                   1        17       136       680      2380      6188
 
                             6         7         8         9        10
                         12376     19448     24310     24310     19448
 
                            11        12        13        14        15
                         12376      6188      2380       680       136
 
                            16        17
                            17         1
 
 N =    18
                   0         1         2         3         4         5
                   1        18       153       816      3060      8568
 
                             6         7         8         9        10
                         18564     31824     43758     48620     43758
 
                            11        12        13        14        15
                         31824     18564      8568      3060       816
 
                            16        17        18
                           153        18         1
 
 N =    19
                   0         1         2         3         4         5
                   1        19       171       969      3876     11628
 
                             6         7         8         9        10
                         27132     50388     75582     92378     92378
 
                            11        12        13        14        15
                         75582     50388     27132     11628      3876
 
                            16        17        18        19
                           969       171        19         1
 









 N =    20
                   0         1         2         3         4         5
                   1        20       190      1140      4845     15504
 
                             6         7         8         9        10
                         38760     77520    125970    167960    184756
 
                            11        12        13        14        15
                        167960    125970     77520     38760     15504
 
                            16        17        18        19        20
                          4845      1140       190        20         1