A194123 - OEIS

%I #5 Mar 30 2012 18:57:40

%S 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,

%T 27,35,75,90,42,42,90,75,35,44,110,165,132,0,132,165,110,44,54,154,

%U 275,297,132,132,297,275,154,54,65,208,429,572,429,0,429,572,429,208,65

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

%e Northwest corner:

%e 0

%e 2...2

%e 5...0...5

%e 9...5...5...9

%e 14..14..0...14..14

%e 20..28..14..14..28..20

%t T[n_, k_]:=Abs[Binomial[n+2,k]-Binomial[n+2,k+2]]

%t Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]

%t   (* A194123 as a sequence *)

%t TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]

%t   (* A194123 as an array *)

%Y Cf. A194124.

%K nonn,tabl

%O 0,2

%A _Clark Kimberling_, Aug 16 2011