T(n,m) = (1/m!)*Sum_{i=0..m} stirling1(m,i)*(2^i)*(2^i+1)*...*(2^i+n-1).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =2a(6) =6a(7) =7a(8) =4a(9) =1a(10) =6a(11) =24a(12) =48a(13) =68a(14) =73a(15) =56a(16) =28a(17) =8a(18) =1a(19) =24a(20) =120a(21) =360a(22) =940a(23) =2251a(24) =4704a(25) =8176a(26) =11488a(27) =12876a(28) =11440a(29) =8008