Generating function
$$U_{1133}(x, y) = \frac{1}{- \frac{x \left(- 2 y - \sqrt{1 - 4 y} + 1\right)^{3}}{8 y^{6}} + 1}$$
Explicit formula
$$T_{1133}(n, m, k) = \frac{3 n {\binom{2 m + 6 n}{m}} {\binom{k + n - 1}{n}}}{m + 3 n}$$
Data table
nan 0 0 0 0 0 0
1 6 27 11 429 1638 6188
1 12 9 544 2907 14364 67298
1 18 189 1518 1035 6318 356265
1 24 324 3248 2697 196416 1298528
1 3 495 595 58275 493506 374699
1 36 702 984 111069 1072764 9203634
Export
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