Pyramid #746
Generating function
$$U_{746}(x, y) = \frac{\left(1 - \sqrt{- 4 x \left(y + 1\right) + 1}\right)^{4}}{16 x^{4} \left(y + 1\right)^{3}}$$
Explicit formula
$$T_{746}(n, m, k) = \frac{2 k {\binom{k + n}{m}} {\binom{4 k + 2 n}{n}}}{2 k + n}$$
Data table
1 1 0 0 0 0 0
4 8 4 0 0 0 0
14 42 42 14 0 0 0
48 192 288 192 48 0 0
165 825 165 165 825 165 0
572 3432 858 1144 858 3432 572
2002 14014 42042 7007 7007 42042 14014
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