Pyramid #1040
Pyramid #1041
Pyramid #1042
Generating function
$$U_{1041}(x, y) = \frac{\left(y + 1\right)^{2}}{\left(1 - x\right)^{3}}$$
Explicit formula
$$T_{1041}(n, m, k) = {\binom{2 k}{m}} {\binom{3 k + n - 1}{n}}$$
Data table
1 2 1 0 0 0 0
3 6 3 0 0 0 0
6 12 6 0 0 0 0
1 2 1 0 0 0 0
15 3 15 0 0 0 0
21 42 21 0 0 0 0
28 56 28 0 0 0 0
Related
Pyramid #1010: Change x y
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