Triangle with columns built from certain power sequences.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =12a(8) =5a(9) =1a(10) =1a(11) =48a(12) =45a(13) =7a(14) =1a(15) =1a(16) =192a(17) =405a(18) =112a(19) =9a(20) =1a(21) =1a(22) =768a(23) =3645a(24) =1792a(25) =225a(26) =11a(27) =1a(28) =1a(29) =3072