Template:Triangles of seals by depth

triangle Sloane'sA022166 and its row sums Sloane'sA006116
(2-binomial coefficients)
triangle Sloane'sA076831 and its row sums Sloane'sA076766
(not to be confused with Pascal's triangle)
        0    1     2      3      4     5    6    7
                                                            
0       1                                                     1
1       1    1                                                2
2       1    3     1                                          5
3       1    7     7      1                                  16
4       1   15    35     15      1                           67
5       1   31   155    155     31     1                    374
6       1   63   651   1395    651    63    1              2825
7       1  127  2667  11811  11811  2667  127    1        29212
        0   1   2   3    4    5    6    7

0       1                                         1
1       1   1                                     2
2       1   2   1                                 4
3       1   3   3   1                             8
4       1   4   6   4    1                       16
5       1   5  10  10    5    1                  32
6       1   6  16  22   16    6    1             68
7       1   7  23  43   43   23    7    1       148