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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 Andrew Howroyd, Table of n, a(n) for n = 0..200 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 Cf. A056302, A056356, A056370, A276543. Sequence in context: A056364 A205799 A296549 * A276548 A353016 A006400 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

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