Triangle with columns built from certain power sequences.

Terms

a(0) =1a(1) =2a(2) =1a(3) =4a(4) =3a(5) =1a(6) =8a(7) =12a(8) =4a(9) =1a(10) =16a(11) =48a(12) =24a(13) =5a(14) =1a(15) =32a(16) =192a(17) =144a(18) =40a(19) =6a(20) =1a(21) =64a(22) =768a(23) =864a(24) =320a(25) =60a(26) =7a(27) =1a(28) =128a(29) =3072