Riordan array (A000045(x)^m,x*A000108(x)), m=3.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =0a(8) =0a(9) =0a(10) =3a(11) =1a(12) =0a(13) =0a(14) =0a(15) =9a(16) =4a(17) =1a(18) =0a(19) =0a(20) =0a(21) =22a(22) =14a(23) =5a(24) =1a(25) =0a(26) =0a(27) =0a(28) =51a(29) =42