Triangle T(n,k) = 1 -A002627(k) -A002627(n-k) +A002627(n), read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =7a(8) =7a(9) =1a(10) =1a(11) =31a(12) =36a(13) =31a(14) =1a(15) =1a(16) =165a(17) =194a(18) =194a(19) =165a(20) =1a(21) =1a(22) =1031a(23) =1194a(24) =1218a(25) =1194a(26) =1031a(27) =1a(28) =1a(29) =7423