A386825 Triangle read by rows: T(n,k) = 3^(n-k)*C(2*n,n-k).
1, 6, 1, 54, 12, 1, 540, 135, 18, 1, 5670, 1512, 252, 24, 1, 61236, 17010, 3240, 405, 30, 1, 673596, 192456, 40095, 5940, 594, 36, 1, 7505784, 2189187, 486486, 81081, 9828, 819, 42, 1, 84440070, 25019280, 5837832, 1061424, 147420, 15120, 1080, 48, 1, 956987460, 287096238
Offset: 0
Examples
Triangle begins:
1;
6, 1;
54, 12, 1;
540, 135, 18, 1;
5670, 1512, 252, 24, 1;
61236, 17010, 3240, 405, 30, 1;
673596, 192456, 40095, 5940, 594, 36, 1;
7505784, 2189187, 486486, 81081, 9828, 819, 42, 1;
...
Programs
-
Mathematica
Flatten[Table[3^(n-k) Binomial[2n, n-k], {n, 0, 9}, {k, 0, n}]]
Formula
T(n,k) = 3^(n-k)*A094527(n,k).
Comments