A067346 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).

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, 148, 35, 6, 0, 1716, 2892, 2178, 920, 250, 48, 7, 0, 6435, 12882, 11574, 5736, 1795, 390, 63, 8, 0, 24310, 57540, 61596, 35808, 12910, 3180, 574, 80, 9, 0, 92378, 257500

Offset: 1

Author

Henry Bottomley, Jan 16 2002

Keywords

• nonn
• tabl

Crossrefs

Rows include A000004, A001700, A067336.

Formula

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