Triangle read by rows, T(n, k) = Sum_{j=0..k} |Stirling1(n, j)|.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =2a(8) =5a(9) =6a(10) =0a(11) =6a(12) =17a(13) =23a(14) =24a(15) =0a(16) =24a(17) =74a(18) =109a(19) =119a(20) =120a(21) =0a(22) =120a(23) =394a(24) =619a(25) =704a(26) =719a(27) =720a(28) =0a(29) =720