Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the colored Motzkin paths of A129400.

Terms

a(0) =1a(1) =2a(2) =1a(3) =8a(4) =4a(5) =1a(6) =32a(7) =20a(8) =6a(9) =1a(10) =144a(11) =96a(12) =36a(13) =8a(14) =1a(15) =672a(16) =480a(17) =200a(18) =56a(19) =10a(20) =1a(21) =3264a(22) =2432a(23) =1104a(24) =352a(25) =80a(26) =12a(27) =1a(28) =16256a(29) =12544