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Number of n-bead asymmetric bracelets with exactly 4 different colored beads.
3

%I #17 Sep 16 2019 04:29:38

%S 0,0,0,3,24,124,588,2484,10240,40464,158220,608951,2333520,8894616,

%T 33864340,128791140,490027200,1865614976,7110959340,27138170397,

%U 103717719412,396965536224,1521562700988,5840509149020,22450188684264,86412086034120,333035003533660

%N Number of n-bead asymmetric bracelets with exactly 4 different colored beads.

%C Asymmetric bracelets are those primitive (period n) bracelets that when turned over are different from themselves.

%H Andrew Howroyd, <a href="/A326789/b326789.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = A032241(n) - 4*A032240(n) + 6*A032239(n) for n >= 3.

%F Moebius transform of A305543.

%Y Column k=4 of A309651.

%Y Cf. A032239, A032240, A032241, A056344, A056350, A305543, A326660.

%K nonn

%O 1,4

%A _Andrew Howroyd_, Sep 12 2019