Riordan array ( (1/(1-x))^m , x*A000108(x) ), m =4.

Terms

a(0) =1a(1) =4a(2) =1a(3) =10a(4) =5a(5) =1a(6) =20a(7) =16a(8) =6a(9) =1a(10) =35a(11) =43a(12) =23a(13) =7a(14) =1a(15) =56a(16) =109a(17) =74a(18) =31a(19) =8a(20) =1a(21) =84a(22) =279a(23) =223a(24) =114a(25) =40a(26) =9a(27) =1a(28) =120a(29) =750