Diagonal of A084024.

Terms

a(0) =1a(1) =44a(2) =171a(3) =2772a(4) =50405a(5) =216612a(6) =1036301a(7) =21177112a(8) =100808001a(9) =1000900010a(10) =10011211001a(11) =210033330012