Pyramid #1143
Pyramid #1144
Pyramid #1145
Generating function
$$U_{1144}(x, y) = \frac{1}{\left(- x \left(y + 1\right)^{2} + 1\right)^{3}}$$
Explicit formula
$$T_{1144}(n, m, k) = {\binom{2 n}{m}} {\binom{3 k + n - 1}{n}}$$
Data table
1 0 0 0 0 0 0
3 6 3 0 0 0 0
6 24 36 24 6 0 0
1 6 15 2 15 6 1
15 12 42 84 105 84 42
21 21 945 252 441 5292 441
28 336 1848 616 1386 22176 25872
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