Generating function
$$U_{466}(x, y) = \frac{1 - \sqrt{- 4 x y^{4} - 16 x y^{3} - 24 x y^{2} - 16 x y - 4 x + 1}}{2 x y + 2 x}$$
Explicit formula
$$T_{466}(n, m, k) = \frac{k {\binom{3 k + 4 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
1 | 3 | 3 | 1 | 0 | 0 | 0 |
1 | 7 | 21 | 35 | 35 | 21 | 7 |
2 | 22 | 110 | 330 | 660 | 924 | 924 |
5 | 75 | 525 | 2275 | 6825 | 15015 | 25025 |
14 | 266 | 2394 | 13566 | 54264 | 162792 | 379848 |
42 | 966 | 10626 | 74382 | 371910 | 1413258 | 4239774 |
132 | 3564 | 46332 | 386100 | 2316600 | 10656360 | 39073320 |
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