Triangle with columns built from certain power sequences.

Terms

a(0) =1a(1) =3a(2) =1a(3) =9a(4) =4a(5) =1a(6) =27a(7) =24a(8) =5a(9) =1a(10) =81a(11) =144a(12) =45a(13) =6a(14) =1a(15) =243a(16) =864a(17) =405a(18) =72a(19) =7a(20) =1a(21) =729a(22) =5184a(23) =3645a(24) =864a(25) =105a(26) =8a(27) =1a(28) =2187a(29) =31104