Triangle read by rows: T(n,k) = (Eulerian(n+1,k)-binomial(n,k))/2, for 0 <= k <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =0a(6) =0a(7) =4a(8) =4a(9) =0a(10) =0a(11) =11a(12) =30a(13) =11a(14) =0a(15) =0a(16) =26a(17) =146a(18) =146a(19) =26a(20) =0a(21) =0a(22) =57a(23) =588a(24) =1198a(25) =588a(26) =57a(27) =0a(28) =0a(29) =120