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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 (list; graph; refs; listen; history; text; internal format)
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
FORMULA
a(n) = Sum_{d|n} 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
Sequence in context: A056364 A205799 A296549 * A276548 A353016 A006400
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(0)=1 prepended and terms a(25) and beyond from Andrew Howroyd, Oct 26 2019
STATUS
approved

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)