OFFSET
0,8
FORMULA
T(n,k) = Sum_{j=0..n} (-1)^j * binomial(-k,j) * binomial(k*j,n-j) = Sum_{j=0..n} binomial(j+k-1,j) * binomial(k*j,n-j).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
0, 1, 2, 3, 4, 5, ...
0, 2, 7, 15, 26, 40, ...
0, 3, 18, 55, 124, 235, ...
0, 5, 47, 198, 571, 1320, ...
0, 8, 118, 681, 2500, 7026, ...
PROG
(PARI) T(n, k) = sum(j=0, n, binomial(j+k-1, j)*binomial(k*j, n-j));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Apr 08 2023
STATUS
approved