Pyramid #1043
Pyramid #1044
Pyramid #1045
Generating function
$$U_{1044}(x, y) = \frac{1}{\left(1 - x\right)^{3} \left(1 - y\right)^{2}}$$
Explicit formula
$$T_{1044}(n, m, k) = {\binom{2 k + m - 1}{m}} {\binom{3 k + n - 1}{n}}$$
Data table
1 2 3 4 5 6 7
3 6 9 12 15 18 21
6 12 18 24 3 36 42
1 2 3 4 5 6 7
15 3 45 6 75 9 105
21 42 63 84 105 126 147
28 56 84 112 14 168 196
Related
Pyramid #447: Change x y
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