Generating function
$$U_{1426}(x, y) = \frac{\left(\frac{x}{\left(1 - y\right)^{3}} + 1\right)^{2}}{\left(1 - y\right)^{2}}$$
Explicit formula
$$T_{1426}(n, m, k) = {\binom{2 k}{n}} {\binom{2 k + m + 3 n - 1}{m}}$$
1 | 2 | 3 | 4 | 5 | 6 | 7 |
2 | 1 | 3 | 7 | 14 | 252 | 42 |
1 | 8 | 36 | 12 | 33 | 792 | 1716 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
0 | 0 | 0 | 0 | 0 | 0 | 0 |
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