Number of aperiodic necklaces (Lyndon words) with k<=8 black beads and n-k white beads.

Terms

a(0) =1a(1) =2a(2) =1a(3) =2a(4) =3a(5) =6a(6) =9a(7) =18a(8) =30a(9) =56a(10) =98a(11) =180a(12) =311a(13) =546a(14) =915a(15) =1520a(16) =2440a(17) =3855a(18) =5916a(19) =8935a(20) =13178a(21) =19138a(22) =27264a(23) =38303a(24) =52950a(25) =72311a(26) =97419a(27) =129839a(28) =171066a(29) =223260