login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

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

%I #9 Sep 14 2019 18:07:56

%S 0,0,0,0,0,80,384,2352,9856,42840,169280,676720,2630688,10265216,

%T 39777248,154498200,599556096,2330826752,9068386320,35332969392,

%U 137817005440,538204062984,2103970896544,8233197139552,32247052083840

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

%H Andrew Howroyd, <a href="/A045666/b045666.txt">Table of n, a(n) for n = 0..200</a>

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

%F a(n) = A007727(n) - A045662(n) - A045663(n) - A045664(n) + 2*A045665(n). - _Andrew Howroyd_, Sep 14 2019

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

%K nonn

%O 0,6

%A _David W. Wilson_