T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.

A209115

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =1a(4) =3a(5) =1a(6) =1a(7) =4a(8) =5a(9) =5a(10) =1a(11) =5a(12) =11a(13) =22a(14) =5a(15) =1a(16) =6a(17) =19a(18) =55a(19) =63a(20) =15a(21) =1a(22) =7a(23) =29a(24) =120a(25) =261a(26) =238a(27) =25a(28) =1a(29) =8

External references