Array read by antidiagonals: T(n,k)=T(n,k-1)*(T(n,k-1)+k-1)/k with T(n,1)=n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =3a(6) =1a(7) =5a(8) =6a(9) =4a(10) =1a(11) =10a(12) =16a(13) =10a(14) =5a(15) =1a(16) =28a(17) =76a(18) =40a(19) =15a(20) =6a(21) =1a(22) =154a(23) =1216a(24) =430a(25) =85a(26) =21a(27) =7a(28) =1a(29) =3520