OFFSET
1,4
FORMULA
T(n,i):=sum(k=0..n-i, binomial(k+i-1,i-1)*sum(r=0..k, binomial(k,r)*sum(m=0..r, binomial(r,m)*sum(j=0..m, binomial(j,-r+n-m-k-j-i)*binomial(m,j)*2^(-r+n-m-k-j-i))))).
EXAMPLE
1,
1, 1,
2, 2, 1,
4, 5, 3, 1,
8, 12, 9, 4, 1,
17, 28, 25, 14, 5, 1,
33, 66, 66, 44, 20, 6, 1,
PROG
(Maxima)
T(n, i):=sum(binomial(k+i-1, i-1)*sum(binomial(k, r)*sum(binomial(r, m)*sum(binomial(j, -r+n-m-k-j-i)*binomial(m, j)*2^(-r+n-m-k-j-i), j, 0, m), m, 0, r), r, 0, k), k, 0, n-i);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Vladimir Kruchinin, Dec 15 2011
STATUS
approved