

A056365


Number of primitive (period n) bracelet structures using a maximum of six different colored beads.


3



1, 1, 1, 2, 5, 11, 33, 91, 342, 1305, 5940, 28227, 144545, 760109, 4112455, 22571026, 125410006, 702370207, 3959138462, 22425417823, 127530807883, 727630240442, 4163114784625, 23876534534361, 137228556011456, 790200525479694, 4557943660168122, 26331300028827092
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OFFSET

0,4


COMMENTS

Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.


REFERENCES

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]


LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200


FORMULA

a(n) = Sum_{dn} mu(d)*A056356(n/d) for n > 0.
a(n) = Sum_{k=1..6} A276543(n, k) for n > 0.  Andrew Howroyd, Oct 26 2019


CROSSREFS

Cf. A056302, A056356, A056370, A276543.
Sequence in context: A056364 A205799 A296549 * A276548 A006400 A254342
Adjacent sequences: A056362 A056363 A056364 * A056366 A056367 A056368


KEYWORD

nonn


AUTHOR

Marks R. Nester


EXTENSIONS

a(0)=1 prepended and terms a(25) and beyond from Andrew Howroyd, Oct 26 2019


STATUS

approved



