Triangle T(n,k) read by rows, where o.g.f. for T(n,k) is n!*Sum_{k=0..n} (1+x)^(n-k)/k!.

Terms

a(0) =1a(1) =2a(2) =1a(3) =5a(4) =6a(5) =2a(6) =16a(7) =33a(8) =24a(9) =6a(10) =65a(11) =196a(12) =228a(13) =120a(14) =24a(15) =326a(16) =1305a(17) =2120a(18) =1740a(19) =720a(20) =120a(21) =1957a(22) =9786a(23) =20550a(24) =23160a(25) =14760a(26) =5040a(27) =720a(28) =13700a(29) =82201