OFFSET
0,6
FORMULA
T(n,k) = Sum_{j=0..n} (-1)^j * binomial(-n,j) * binomial(k*j,n-j) = Sum_{j=0..n} binomial(n+j-1,j) * binomial(k*j,n-j).
EXAMPLE
Square array begins:
1, 1, 1, 1, 1, 1, ...
1, 1, 1, 1, 1, 1, ...
3, 5, 7, 9, 11, 13, ...
10, 22, 37, 55, 76, 100, ...
35, 105, 215, 369, 571, 825, ...
126, 511, 1271, 2526, 4401, 7026, ...
PROG
(PARI) T(n, k) = sum(j=0, n, binomial(n+j-1, j)*binomial(k*j, n-j));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Seiichi Manyama, Apr 08 2023
STATUS
approved