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Square array read by antidiagonals: T(n,k)=T(n,k-1)*n^2/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k).
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%I #4 Mar 30 2012 18:51:35

%S 0,0,1,0,3,2,0,10,8,3,0,35,34,15,4,0,126,148,78,24,5,0,462,652,411,

%T 148,35,6,0,1716,2892,2178,920,250,48,7,0,6435,12882,11574,5736,1795,

%U 390,63,8,0,24310,57540,61596,35808,12910,3180,574,80,9,0,92378,257500

%N Square array read by antidiagonals: T(n,k)=T(n,k-1)*n^2/(n-1)-Catalan(k-1) with a(n,1)=n-1 and a(1,k)=0 where Catalan(k)=C(2k,k)/(k+1)=A000108(k).

%F T(n, k) =A067345(n, k)*(n-1) =A067347(n, k)*(1-1/n)

%Y Rows include A000004, A001700, A067336.

%K nonn,tabl

%O 1,5

%A _Henry Bottomley_, Jan 16 2002