Generating function
$$U_{1350}(x, y) = \frac{1 - \sqrt{- 4 x \left(y + 1\right)^{4} + 1}}{2 x \left(y + 1\right)^{4}}$$
Explicit formula
$$T_{1350}(n, m, k) = \frac{k {\binom{4 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
Data table
1 0 0 0 0 0 0
1 4 6 4 1 0 0
2 16 56 112 14 112 56
5 6 33 11 2475 396 462
14 224 168 784 2548 61152 112112
42 84 798 4788 20349 651168 162792
132 3168 36432 267168 1402632 5610528 17766672
Export
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