Pyramid #758
Generating function
$$U_{758}(x, y) = \frac{\left(1 - \sqrt{- 4 x \left(y + 1\right)^{2} + 1}\right)^{3}}{8 x^{3} \left(y + 1\right)^{4}}$$
Explicit formula
$$T_{758}(n, m, k) = \frac{3 k {\binom{2 k + 2 n}{m}} {\binom{3 k + 2 n}{n}}}{3 k + 2 n}$$
Data table
1 2 1 0 0 0 0
3 12 18 12 3 0 0
9 54 135 18 135 54 9
28 224 784 1568 196 1568 784
9 9 405 108 189 2268 189
297 3564 19602 6534 147015 235224 274428
1001 14014 91091 364364 1002001 2004002 3006003
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