A045666 Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally inequivalent to reverse, complement and reversed complement.

0, 0, 0, 0, 0, 80, 384, 2352, 9856, 42840, 169280, 676720, 2630688, 10265216, 39777248, 154498200, 599556096, 2330826752, 9068386320, 35332969392, 137817005440, 538204062984, 2103970896544, 8233197139552, 32247052083840

Offset: 0

Author

David W. Wilson

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..200

Crossrefs

Cf. A007727, A045662, A045663, A045664, A045665, A045684.

Formula

a(n) = 2*n*A045684(n).

a(n) = A007727(n) - A045662(n) - A045663(n) - A045664(n) + 2*A045665(n). - Andrew Howroyd, Sep 14 2019