OFFSET
0,5
FORMULA
G.f. of column k: 1/((1-k*x) * (1-x)^k).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, 1, ...
0, 2, 4, 6, 8, 10, 12, ...
0, 3, 11, 24, 42, 65, 93, ...
0, 4, 26, 82, 188, 360, 614, ...
0, 5, 57, 261, 787, 1870, 3810, ...
0, 6, 120, 804, 3204, 9476, 23112, ...
0, 7, 247, 2440, 12900, 47590, 139134, ...
PROG
(PARI) T(n, k) = sum(j=0, n, k^(n-j)*binomial(j+k-1, j));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Dec 27 2023
STATUS
approved