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%I #11 Oct 24 2019 23:02:37
%S 0,0,0,0,0,1,3,27,171,1249,8389,56079,360430,2272601,14037552,
%T 85516454,514976658,3074986408,18239677629,107654219304,632996894928,
%U 3711499493421,21716765203045,126880009607690,740528525043982,4319138789721875,25181507049874027,146788327084831744
%N Number of bracelet structures using exactly six different colored beads.
%C Turning over will not create a new bracelet. Permuting the colors of the beads will not change the 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]
%H Andrew Howroyd, <a href="/A056361/b056361.txt">Table of n, a(n) for n = 1..200</a>
%F a(n) = A056356(n) - A056355(n).
%Y Column 6 of A152176.
%Y Cf. A056299, A056355, A056356.
%K nonn
%O 1,7
%A _Marks R. Nester_
%E Terms a(25) and beyond from _Andrew Howroyd_, Oct 24 2019