Triangular array T given by rows: T(n,0)=1 for n >= 0, T(1,1)=2; for even n >= 2, T(n,k)=T(n-2,k-1)+T(n-1,k-1)+T(n-1,k) for 1<=(odd k)<=n-1 and T(n,k)=T(n-1,k-1)+T(n-1,k) for 2<=(even k)<=n-2, T(n,n)=T(n-1,n-1); for odd n<=3, T(n,k)=T(n,k-1)+T(n-1,k-1)+T(n-1,k) for 1<=(odd k)<=n-2 and T(n,k)=T(n-1,k-1)+T(n-1,k) for 2<=(even k)<=n-1, T(n,n)=T(n-1,n-1)+T(n,n-1).
A027144
Triangular array T given by rows: T(n,0)=1 for n >= 0, T(1,1)=2; for even n >= 2, T(n,k)=T(n-2,k-1)+T(n-1,k-1)+T(n-1,k) for 1<=(odd k)<=n-1 and T(n,k)=T(n-1,k-1)+T(n-1,k) for 2<=(even k)<=n-2, T(n,n)=T(n-1,n-1); for odd n<=3, T(n,k)=T(n,k-1)+T(n-1,k-1)+T(n-1,k) for 1<=(odd k)<=n-2 and T(n,k)=T(n-1,k-1)+T(n-1,k) for 2<=(even k)<=n-1, T(n,n)=T(n-1,n-1)+T(n,n-1).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =2a(6) =1a(7) =6a(8) =6a(9) =8a(10) =1a(11) =8a(12) =12a(13) =16a(14) =8a(15) =1a(16) =10a(17) =20a(18) =48a(19) =24a(20) =32a(21) =1a(22) =12a(23) =30a(24) =80a(25) =72a(26) =64a(27) =32a(28) =1a(29) =14
External references
- oeis: A027144