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A056304 Number of primitive (period n) n-bead necklace structures using exactly three different colored beads. 5

%I #10 Aug 22 2017 20:53:08

%S 0,0,1,2,5,17,43,124,338,941,2591,7234,20125,56407,158349,446492,

%T 1262225,3580330,10181479,29031306,82968799,237642659,682014587,

%U 1960974220,5647919640,16292741605,47069104274

%N Number of primitive (period n) n-bead necklace structures using exactly three different colored beads.

%C Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.

%D M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

%F sum mu(d)*A056296(n/d) where d|n. Alternatively, A002075(n)-A000048(n)..

%Y Column 3 of A107424.

%Y Cf. A056288.

%K nonn

%O 1,4

%A _Marks R. Nester_

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Last modified June 5 04:27 EDT 2024. Contains 373102 sequences. (Running on oeis4.)