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

A067347

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

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =1a(6) =0a(7) =2a(8) =2a(9) =1a(10) =0a(11) =5a(12) =6a(13) =3a(14) =1a(15) =0a(16) =14a(17) =20a(18) =12a(19) =4a(20) =1a(21) =0a(22) =42a(23) =70a(24) =51a(25) =20a(26) =5a(27) =1a(28) =0a(29) =132

External references