%I #5 Mar 30 2012 18:57:40
%S 4,7,7,11,14,11,16,25,25,16,22,41,50,41,22,29,63,91,91,63,29,37,92,
%T 154,182,154,92,37,46,129,246,336,336,246,129,46,56,175,375,582,672,
%U 582,375,175,56,67,231,550,957,1254,1254,957,550,231,67,79,298,781
%N Triangular array: T(n,k)=C(n+2,k)+C(n+2,k+1)+C(n+2,k+2), 0<=k<=n.
%F T(n,k)=C(n+2,k)+C(n+2,k+1)+C(n+2,k+2), 0<=k<=n.
%e Northwest corner:
%e 4
%e 7....7
%e 11...14...11
%e 16...25...25...16
%e 22...41...50...41...22
%e 29...63...91...91...63..29
%t T[n_, k_] := Binomial[n + 2, k] + Binomial[n + 2, k + 1] + Binomial[n + 2, k + 2]
%t Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
%t (* A194121 as a sequence *)
%t TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]]
%t (* A194121 as an array *)
%Y Cf. A194119, A194121.
%K nonn,tabl
%O 0,1
%A _Clark Kimberling_, Aug 16 2011
