T(n,k) = Sum_{i=0..k} (-1)^(k-i)*binomial(k,i)*A000670(n-k+i).

Terms

a(0) =1a(1) =1a(2) =0a(3) =3a(4) =2a(5) =2a(6) =13a(7) =10a(8) =8a(9) =6a(10) =75a(11) =62a(12) =52a(13) =44a(14) =38a(15) =541a(16) =466a(17) =404a(18) =352a(19) =308a(20) =270a(21) =4683a(22) =4142a(23) =3676a(24) =3272a(25) =2920a(26) =2612a(27) =2342a(28) =47293a(29) =42610