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Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, but not equivalent to their complement and reversed complement.
1

%I #10 Sep 29 2017 17:15:23

%S 0,0,0,0,2,2,14,12,56,54,230,220,870,860,3348,3302,12672,12614,48280,

%T 48108,183990,183720,704156,703384,2701128,2700058,10395580,10392354,

%U 40104974,40100216,155097460,155084752,601034752,601014634,2333527814

%N Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, but not equivalent to their complement and reversed complement.

%C The number of length 2n balanced binary Lyndon words which are equivalent to their reverse is A045680(n) and the number which are equivalent to their reverse, complement and reversed complement is A045683(n). - _Andrew Howroyd_, Sep 28 2017

%H <a href="/index/Lu#Lyndon">Index entries for sequences related to Lyndon words</a>

%F From _Andrew Howroyd_, Sep 28 2017: (Start)

%F Moebius transform of A045676.

%F a(n) = A045680(n) - A045683(n).

%F (End)

%Y Cf. A045676, A045680, A045683.

%K nonn

%O 0,5

%A _David W. Wilson_