Riordan array ( (1/(1-x))^m , x*A000108(x) ), m = 3.

Terms

a(0) =1a(1) =3a(2) =1a(3) =6a(4) =4a(5) =1a(6) =10a(7) =11a(8) =5a(9) =1a(10) =15a(11) =27a(12) =17a(13) =6a(14) =1a(15) =21a(16) =66a(17) =51a(18) =24a(19) =7a(20) =1a(21) =28a(22) =170a(23) =149a(24) =83a(25) =32a(26) =8a(27) =1a(28) =36a(29) =471