Generating function
$$U_{746}(x, y) = \frac{\left(1 - \sqrt{- 4 x \left(y + 1\right) + 1}\right)^{4}}{16 x^{4} \left(y + 1\right)^{3}}$$
Explicit formula
$$T_{746}(n, m, k) = \frac{2 k {\binom{k + n}{m}} {\binom{4 k + 2 n}{n}}}{2 k + n}$$
1 | 1 | 0 | 0 | 0 | 0 | 0 |
4 | 8 | 4 | 0 | 0 | 0 | 0 |
14 | 42 | 42 | 14 | 0 | 0 | 0 |
48 | 192 | 288 | 192 | 48 | 0 | 0 |
165 | 825 | 165 | 165 | 825 | 165 | 0 |
572 | 3432 | 858 | 1144 | 858 | 3432 | 572 |
2002 | 14014 | 42042 | 7007 | 7007 | 42042 | 14014 |
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