Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).
A067345
Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n^2-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k).
Terms
- a(0) =1a(1) =2a(2) =1a(3) =5a(4) =3a(5) =1a(6) =14a(7) =10a(8) =4a(9) =1a(10) =42a(11) =35a(12) =17a(13) =5a(14) =1a(15) =132a(16) =126a(17) =74a(18) =26a(19) =6a(20) =1a(21) =429a(22) =462a(23) =326a(24) =137a(25) =37a(26) =7a(27) =1a(28) =1430a(29) =1716
External references
- oeis: A067345