Triangle read by rows: counts Motzkin paths by length of final descent.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =4a(7) =4a(8) =1a(9) =9a(10) =9a(11) =3a(12) =21a(13) =21a(14) =8a(15) =1a(16) =51a(17) =51a(18) =21a(19) =4a(20) =127a(21) =127a(22) =55a(23) =13a(24) =1a(25) =323a(26) =323a(27) =145a(28) =39a(29) =5