OFFSET
0,4
COMMENTS
Column k=0 is the sequence of Catalan numbers (A000108).
FORMULA
T(n, k)=(2n+k)!(n-k+2)(n-k+1)/[k!(n+2)!(n+1)! ] (0<=k<=n).
EXAMPLE
1;
1,1;
2,5,5;
5,21,42,42;
14,84,252,462,462;
42,330,1320,3432,6006,6006;
MAPLE
T:=proc(n, k) if k>n then 0 else (2*n+k)!*(n-k+2)*(n-k+1)/k!/(n+2)!/(n+1)! fi end:seq(seq(T(n, k), k=0..n), n=0..9);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Emeric Deutsch, May 30 2004
EXTENSIONS
Keyword tabl added by Michel Marcus, Apr 09 2013
STATUS
approved