OFFSET
0,2
FORMULA
G.f. ((sqrt(1-4*x*y)-sqrt(1-4*x))/(2*(x-x*y)))^3.
EXAMPLE
1,
3,3,
9,12,9,
28,42,42,28,
90,144,162,144,
90,297,495,594,594,495,297
PROG
(Maxima)
T(n, m):=if n<m then 0 else (3*(m+1)*(binomial(n+m+3, m))*(binomial(2*n+2, n-m)))/((n+m+3)*(binomial(n+1, m)));
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Vladimir Kruchinin, Nov 20 2020
STATUS
approved