A045685 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.

0, 0, 0, 0, 2, 2, 14, 12, 56, 54, 230, 220, 870, 860, 3348, 3302, 12672, 12614, 48280, 48108, 183990, 183720, 704156, 703384, 2701128, 2700058, 10395580, 10392354, 40104974, 40100216, 155097460, 155084752, 601034752, 601014634, 2333527814

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Comments

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

Links

• Index entries for sequences related to Lyndon words

Crossrefs

Cf. A045676, A045680, A045683.

Formula

From Andrew Howroyd, Sep 28 2017: (Start)

Moebius transform of A045676.

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

(End)