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A056301 Number of primitive (period n) n-bead necklace structures using a maximum of five different colored beads. 4

%I

%S 1,1,2,5,11,38,122,496,2005,8707,38364,173562,792827,3662800,17034367,

%T 79702578,374624253,1767881397,8370666416,39751064122,189262621739,

%U 903220020390,4319518316898,20697040024784

%N Number of primitive (period n) n-bead necklace structures using a maximum of five 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 a(n) = Sum_{d|n} mu(d) * A056293(n/d); mu = A008683.

%Y Cf. A001692, A008683.

%K nonn

%O 1,3

%A _Marks R. Nester_

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Last modified October 15 21:38 EDT 2021. Contains 348034 sequences. (Running on oeis4.)