OFFSET
1,2
EXAMPLE
[n\k 1 2 3 4 5 6 7 ]
[1] 1,
[2] 2, 3,
[3] 3, 8, 10,
[4] 4, 15, 30, 35,
[5] 5, 24, 63, 112, 126,
[6] 6, 35, 112, 252, 420, 462,
[7] 7, 48, 180, 480, 990, 1584, 1716.
MAPLE
MATHEMATICA
h[n_] := (n - ((1 - (-1)^n)/2))/2;
binom2[n_, k_] := n!/(h[n-k]! h[n+k]!);
T[n_, k_] := binom2[n+k, n-k+1] (n-k+1)/(n+k);
Table[T[n, k], {n, 1, 10}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jul 10 2019, from Maple *)
PROG
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Mar 05 2014
STATUS
approved