Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n).

Terms

a(0) =1a(1) =2a(2) =3a(3) =3a(4) =10a(5) =13a(6) =4a(7) =21a(8) =74a(9) =75a(10) =5a(11) =36a(12) =219a(13) =730a(14) =541a(15) =6a(16) =55a(17) =484a(18) =3045a(19) =9002a(20) =4683a(21) =7a(22) =78a(23) =905a(24) =8676a(25) =52923a(26) =133210a(27) =47293a(28) =8a(29) =105