T(n, m) = Sum_{i=0..10} floor(Eulerian(n+1, m)/2^i).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =19a(8) =19a(9) =1a(10) =1a(11) =49a(12) =130a(13) =49a(14) =1a(15) =1a(16) =110a(17) =599a(18) =599a(19) =110a(20) =1a(21) =1a(22) =236a(23) =2376a(24) =4826a(25) =2376a(26) =236a(27) =1a(28) =1a(29) =487