Generating function
$$U_{1436}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- x \left(y + 1\right) + 1\right)^{2}}$$
Explicit formula
$$T_{1436}(n, m, k) = {\binom{3 k + n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 3 3 1 0 0 0
2 8 12 8 2 0 0
3 15 3 3 15 3 0
4 24 6 8 6 24 4
5 35 105 175 175 105 35
6 48 168 336 42 336 168
7 63 252 588 882 882 588
Related
Export
expand_less