A344779 Number of distinct length-n necklaces on a size-2 alphabet.

2, 1, 2, 1, 2, 3, 4, 2, 4, 3, 6, 9, 12, 20, 32, 16, 32, 36, 68, 57, 138, 123, 252, 378, 504, 420, 1296, 1520, 2176, 2816, 4096, 2048, 4096, 3840, 7040, 7408, 14128, 14212, 29224, 29834, 91332, 87175

Offset

1,1

Comments

They are named P(2)n-sequences in Nellore and Ward article.

Links

Table of n, a(n) for n=1..42.

Abhinav Nellore and Rachel Ward, Arbitrary-length analogs to de Bruijn sequences, arXiv:2108.07759 [math.CO], 2021.

Formula

a(2^n) = A016031(n). - Martin Ehrenstein, Aug 24 2021

Crossrefs

Cf. A016031.

Sequence in context: A069003 A087855 A083409 * A317586 A303780 A234022

Adjacent sequences: A344776 A344777 A344778 * A344780 A344781 A344782

Keyword

nonn,more

Author

Michel Marcus, Aug 18 2021

Extensions

a(33)-a(42) from Martin Ehrenstein, Aug 25 2021

Status

approved