Pyramid #146
Generating function
$$U_{146}(x, y) = \frac{y + 1}{- x \left(y + 1\right)^{2} + 1}$$
Explicit formula
$$T_{146}(n, m, k) = {\binom{k + 2 n}{m}} {\binom{k + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
1 3 3 1 0 0 0
1 5 1 1 5 1 0
1 7 21 35 35 21 7
1 9 36 84 126 126 84
1 11 55 165 33 462 462
1 13 78 286 715 1287 1716
Export
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