OFFSET
0,4
COMMENTS
Column 0 forms A102223.
FORMULA
EXAMPLE
Rows begin:
[0],
[1,0],
[3,4,0],
[22,27,9,0],
[323,352,108,16,0],
[7906,8075,2200,300,25,0],
[290262,284616,72675,8800,675,36,0],...
which equals the term-by-term product of column 0
with the squared binomial coefficients (A008459):
[(0)1^2],
[(1)1^2,(0)1^2],
[(3)1^2,(1)2^2,(0)1^2],
[(22)1^2,(3)3^2,(1)3^2,(0)1^2],
[(323)1^2,(22)4^2,(3)6^2,(1)4^2,(0)1^2],...
PROG
(PARI) {T(n, k)=if(n<k||k<0, 0, sum(m=1, n, (matrix(n+1, n+1, i, j, binomial(i-1, j-1)^2-if(i==j, 1, 0))^m/m)[n+1, k+1]))}
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Dec 31 2004
STATUS
approved