Array read by antidiagonals of higher order Fubini numbers.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =4a(5) =13a(6) =1a(7) =5a(8) =23a(9) =75a(10) =1a(11) =6a(12) =36a(13) =175a(14) =541a(15) =1a(16) =7a(17) =52a(18) =342a(19) =1662a(20) =4683a(21) =1a(22) =8a(23) =71a(24) =594a(25) =4048a(26) =18937a(27) =47293a(28) =1a(29) =9