Triangle read by rows, T(n, k) = Sum_{j=0..k} Stirling2(n, j) = Sum_{j=0..k} A048993(n, j).

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =1a(5) =2a(6) =0a(7) =1a(8) =4a(9) =5a(10) =0a(11) =1a(12) =8a(13) =14a(14) =15a(15) =0a(16) =1a(17) =16a(18) =41a(19) =51a(20) =52a(21) =0a(22) =1a(23) =32a(24) =122a(25) =187a(26) =202a(27) =203a(28) =0a(29) =1