Triangle T(n,m)= Sum_{i=0..n} L'(n,i)*Product_{j=1..m} (i-j+1), read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =2a(6) =13a(7) =21a(8) =18a(9) =6a(10) =73a(11) =136a(12) =156a(13) =96a(14) =24a(15) =501a(16) =1045a(17) =1460a(18) =1260a(19) =600a(20) =120a(21) =4051a(22) =9276a(23) =15030a(24) =16320a(25) =11160a(26) =4320a(27) =720a(28) =37633a(29) =93289