OFFSET

1,1

COMMENTS

A "circular word" (a.k.a. "necklace") is one that wraps around from the end to the beginning. The words are counted up to an equivalence where two circular words are the same if one is a cyclic shift of the other.

LINKS

D. Gabric, S. Holub, and J. Shallit, Generalized de Bruijn words and the state complexity of conjugate sets, arXiv:1903.05442 [cs.FL], March 13 2019.

FORMULA

a(2^n-1) = 2^(2^(n-1)-n+1) since A317586(2^n) = 2^(2^(n-1)-n) and A317586(2^n-1) = A317586(2^n+1) = 2*A317586(2^n) = 2^(2^(n-1)-n+1). - Altug Alkan, Sep 05 2018

CROSSREFS

KEYWORD

nonn,more

AUTHOR

Jeffrey Shallit, Aug 31 2018

STATUS

approved