Generating function
$$U_{493}(x, y) = - \frac{\left(y + 1\right)^{2}}{x \left(y + 1\right)^{4} - 1}$$
Explicit formula
$$T_{493}(n, m, k) = \frac{k {\binom{k + n}{n}} {\binom{2 k + 4 n}{m}}}{k + n}$$
| 1 | 2 | 1 | 0 | 0 | 0 | 0 |
| 1 | 6 | 15 | 2 | 15 | 6 | 1 |
| 1 | 1 | 45 | 12 | 21 | 252 | 21 |
| 1 | 14 | 91 | 364 | 1001 | 2002 | 3003 |
| 1 | 18 | 153 | 816 | 306 | 8568 | 18564 |
| 1 | 22 | 231 | 154 | 7315 | 26334 | 74613 |
| 1 | 26 | 325 | 26 | 1495 | 6578 | 23023 |
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