T(n,k) = (n-1)*A220555(n,k), n,k = 2,3,....

Terms

a(0) =3a(1) =14a(2) =8a(3) =21a(4) =52a(5) =6a(6) =124a(7) =54a(8) =28a(9) =20a(10) =315a(11) =484a(12) =42a(13) =124a(14) =24a(15) =90a(16) =130a(17) =248a(18) =186a(19) =364a(20) =16a(21) =105a(22) =144a(23) =630a(24) =3124a(25) =378a(26) =84a(27) =12a(28) =4088a(29) =11480