OFFSET
0,5
COMMENTS
LINKS
Paul D. Hanna, Rows n = 0..45, flattened.
FORMULA
EXAMPLE
Triangle T(n,k) (with rows n >= 0 and columns k = 0..n) begins:
1;
1, 1;
1, 2, 1;
1, 3, 3, 1;
1, 5, 8, 5, 1;
1, 7, 18, 18, 7, 1;
1, 11, 39, 58, 39, 11, 1;
1, 15, 75, 155, 155, 75, 15, 1;
1, 22, 141, 383, 526, 383, 141, 22, 1;
1, 30, 251, 867, 1555, 1555, 867, 251, 30, 1;
1, 42, 433, 1860, 4192, 5448, 4192, 1860, 433, 42, 1;
...
PROG
(PARI) T(n, k)=if(n<k || k<0, 0, if(n==0, 1, polcoeff(prod(j=n+1, 2*n, 1-q^j)/prod(j=1, n, 1-q^j), n*k, q)))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Paul D. Hanna, Mar 10 2007
STATUS
approved