T(4,n) with T(n,m) as in A063394.

Terms

a(0) =1a(1) =31a(2) =111a(3) =343a(4) =979a(5) =2655a(6) =6943a(7) =17663a(8) =43967a(9) =107519a(10) =259071a(11) =616447a(12) =1451007a(13) =3383295a(14) =7823359a(15) =17956863a(16) =40943615a(17) =92798975a(18) =209190911a(19) =469237759a(20) =1047789567a(21) =2329935871a(22) =5161091071a(23) =11391729663a(24) =25060966399a(25) =54962159615a(26) =120191975423a(27) =262127222783