Triangle read by rows: binomial(n-1,k-1)*A001006(k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =4a(6) =1a(7) =6a(8) =12a(9) =9a(10) =1a(11) =8a(12) =24a(13) =36a(14) =21a(15) =1a(16) =10a(17) =40a(18) =90a(19) =105a(20) =51a(21) =1a(22) =12a(23) =60a(24) =180a(25) =315a(26) =306a(27) =127a(28) =1a(29) =14