Pyramid #435
Generating function
$$U_{435}(x, y) = \frac{- x^{2} + 2 x - 1}{- x^{4} + 4 x^{3} - 6 x^{2} + 4 x + y - 1}$$
Explicit formula
$$T_{435}(n, m, k) = \frac{k {\binom{k + m}{m}} {\binom{2 k + 4 m + n - 1}{n}}}{k + m}$$
Data table
1 1 1 1 1 1 1
2 6 1 14 18 22 26
3 21 55 105 171 253 351
4 56 22 56 114 2024 3276
5 126 715 238 5985 1265 23751
6 252 2002 8568 26334 6578 142506
7 462 5005 27132 100947 29601 736281
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