Number of free midpoint-free polycubes of size n, identifying rotations and reflections.

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =5a(5) =18a(6) =33a(7) =70a(8) =110a(9) =246a(10) =526a(11) =1144a(12) =2366a(13) =4689a(14) =8597a(15) =15168a(16) =26367a(17) =46696a(18) =82428a(19) =142991a(20) =240609a(21) =393640a(22) =627305a(23) =975760a(24) =1474671a(25) =2164515a(26) =3084956a(27) =4282222a(28) =5810980a(29) =7776373