OFFSET
0,3
COMMENTS
Column k is the diagonal of the rational function 1 / (Product_{j=1..k} (1-x_j) - 2 * Product_{j=1..k} x_j) for k>0.
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
3, 3, 3, 3, 3, 3, ...
7, 9, 13, 21, 37, 69, ...
15, 27, 63, 171, 495, 1467, ...
31, 81, 321, 1521, 7761, 41361, ...
63, 243, 1683, 14283, 131283, 1256283, ...
MATHEMATICA
T[n_, k_] := Sum[2^j * Binomial[n, j]^k, {j, 0, n}]; Table[T[k, n-k], {n, 0, 10}, {k, 0, n}] // Flatten (* Amiram Eldar, May 01 2021 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Jul 11 2020
STATUS
approved