Generating function
$$U_{1132}(x, y) = \frac{1}{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{2}}{4 y^{4}} + 1}$$
Explicit formula
$$T_{1132}(n, m, k) = \frac{2 n {\binom{2 m + 4 n}{m}} {\binom{k + n - 1}{n}}}{m + 2 n}$$
nan | 0 | 0 | 0 | 0 | 0 | 0 |
1 | 4 | 14 | 48 | 165 | 572 | 2002 |
1 | 8 | 44 | 208 | 91 | 3808 | 15504 |
1 | 12 | 9 | 544 | 2907 | 14364 | 67298 |
1 | 16 | 152 | 112 | 7084 | 4048 | 21528 |
1 | 2 | 23 | 2 | 14625 | 95004 | 56637 |
1 | 24 | 324 | 3248 | 2697 | 196416 | 1298528 |
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