Number of sequences of length n with elements {-2,-1,+1,+2}, counted up to simultaneous reversal and negation, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (undirected) cycles on the circulant graph C_n(1,2).
A137726
Number of sequences of length n with elements {-2,-1,+1,+2}, counted up to simultaneous reversal and negation, such that the sum of elements of the whole sequence but of no proper subsequence equals 0 modulo n. For n>=4, the number of Hamiltonian (undirected) cycles on the circulant graph C_n(1,2).
Terms
- a(0) =2a(1) =2a(2) =8a(3) =9a(4) =12a(5) =16a(6) =23a(7) =29a(8) =41a(9) =56a(10) =79a(11) =110a(12) =158a(13) =225a(14) =325a(15) =469a(16) =682a(17) =991a(18) =1446a(19) =2110a(20) =3085a(21) =4511a(22) =6603a(23) =9666a(24) =14157a(25) =20736a(26) =30380a(27) =44511a(28) =65223a(29) =95575
External references
- oeis: A137726