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).

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).

Terms

    a(0) =0a(1) =0a(2) =1a(3) =0a(4) =3a(5) =2a(6) =0a(7) =10a(8) =8a(9) =3a(10) =0a(11) =35a(12) =34a(13) =15a(14) =4a(15) =0a(16) =126a(17) =148a(18) =78a(19) =24a(20) =5a(21) =0a(22) =462a(23) =652a(24) =411a(25) =148a(26) =35a(27) =6a(28) =0a(29) =1716

External references