Pyramid #491
Generating function
$$U_{491}(x, y) = \frac{1 - \sqrt{- 4 x \left(y + 1\right)^{3} + 1}}{2 x \left(y + 1\right)^{2}}$$
Explicit formula
$$T_{491}(n, m, k) = \frac{k {\binom{k + 3 n}{m}} {\binom{k + 2 n - 1}{n}}}{k + n}$$
Data table
1 1 0 0 0 0 0
1 4 6 4 1 0 0
2 14 42 7 7 42 14
5 5 225 6 105 126 105
14 182 1092 4004 1001 18018 24024
42 672 504 2352 7644 183456 336336
132 2508 22572 127908 511632 1534896 3581424
Export
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