A triangle sequence of the form: T(n,m) = binomial(n, m) + floor(Eulerian(n + 1, m)/2).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =8a(8) =8a(9) =1a(10) =1a(11) =17a(12) =39a(13) =17a(14) =1a(15) =1a(16) =33a(17) =161a(18) =161a(19) =33a(20) =1a(21) =1a(22) =66a(23) =610a(24) =1228a(25) =610a(26) =66a(27) =1a(28) =1a(29) =130