

A194123


Triangular array: T(n,k)=C(n+2,k)C(n+2,k+2), 0<=k<=n.


2



0, 2, 2, 5, 0, 5, 9, 5, 5, 9, 14, 14, 0, 14, 14, 20, 28, 14, 14, 28, 20, 27, 48, 42, 0, 42, 48, 27, 35, 75, 90, 42, 42, 90, 75, 35, 44, 110, 165, 132, 0, 132, 165, 110, 44, 54, 154, 275, 297, 132, 132, 297, 275, 154, 54, 65, 208, 429, 572, 429, 0, 429, 572, 429, 208, 65
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OFFSET

0,2


LINKS



EXAMPLE

Northwest corner:
0
2...2
5...0...5
9...5...5...9
14..14..0...14..14
20..28..14..14..28..20


MATHEMATICA

T[n_, k_]:=Abs[Binomial[n+2, k]Binomial[n+2, k+2]]
Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



