Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).
A026300
Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =1a(7) =3a(8) =5a(9) =4a(10) =1a(11) =4a(12) =9a(13) =12a(14) =9a(15) =1a(16) =5a(17) =14a(18) =25a(19) =30a(20) =21a(21) =1a(22) =6a(23) =20a(24) =44a(25) =69a(26) =76a(27) =51a(28) =1a(29) =7
External references
- oeis: A026300