Pyramid #1442
Pyramid #1443
Pyramid #1444
Generating function
$$U_{1443}(x, y) = \frac{y + 1}{\left(- x \left(y + 1\right)^{2} + 1\right)^{3}}$$
Explicit formula
$$T_{1443}(n, m, k) = {\binom{k + 2 n}{m}} {\binom{3 k + n - 1}{n}}$$
Data table
1 1 0 0 0 0 0
3 9 9 3 0 0 0
6 3 6 6 3 6 0
1 7 21 35 35 21 7
15 135 54 126 189 189 126
21 231 1155 3465 693 9702 9702
28 364 2184 8008 2002 36036 48048
Related
Export
expand_less