OFFSET
0,9
COMMENTS
FORMULA
T(n,k) = Sum{j=0..n-k} C(k-1,j)*C(n-j-1,n-k-j).
EXAMPLE
Triangle starts:
1;
-1, 1;
1, 1, 1;
-1, 1, 3, 1;
1, 1, 5, 5, 1;
-1, 1, 7, 13, 7, 1;
1, 1, 9, 25, 25, 9, 1;
...
MATHEMATICA
T[n_, k_]:=SeriesCoefficient[(x(1+x)/(1-x))^k/(1+x), {x, 0, n}]; Table[T[n, k], {n, 0, 10}, {k, 0, n}]//Flatten (* Stefano Spezia, May 26 2024 *)
CROSSREFS
KEYWORD
AUTHOR
Paul Barry, Sep 07 2005
STATUS
approved