Pyramid #1436
Pyramid #1437
Pyramid #1438
Generating function
$$U_{1437}(x, y) = \frac{\left(y + 1\right)^{3}}{\left(- x \left(y + 1\right)^{2} + 1\right)^{2}}$$
Explicit formula
$$T_{1437}(n, m, k) = {\binom{3 k + 2 n}{m}} {\binom{2 k + n - 1}{n}}$$
Data table
1 3 3 1 0 0 0
2 1 2 2 1 2 0
3 21 63 105 105 63 21
4 36 144 336 504 504 336
5 55 275 825 165 231 231
6 78 468 1716 429 7722 10296
7 105 735 3185 9555 21021 35035
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