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%I #10 Aug 22 2017 20:53:08
%S 0,0,0,0,1,3,20,136,773,4280,22430,115097,577577,2863207,14051163,
%T 68515378,332514803,1608799915,7767857090,37460384315,180536313527,
%U 869901375049,4192038616700,20208367780744
%N Number of primitive (period n) n-bead necklace structures using exactly 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 Sum mu(d)*A056298(n/d) where d|n. Alternatively, A056301(n)-A056300(n)..
%Y Column 5 of A107424.
%Y Cf. A056290.
%K nonn
%O 1,6
%A _Marks R. Nester_