A056361 Number of bracelet structures using exactly six different colored beads.

0, 0, 0, 0, 0, 1, 3, 27, 171, 1249, 8389, 56079, 360430, 2272601, 14037552, 85516454, 514976658, 3074986408, 18239677629, 107654219304, 632996894928, 3711499493421, 21716765203045, 126880009607690, 740528525043982, 4319138789721875, 25181507049874027, 146788327084831744

Offset

1,7

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 = 1..200

Formula

a(n) = A056356(n) - A056355(n).

Crossrefs

Column 6 of A152176.

Cf. A056299, A056355, A056356.

Sequence in context: A270956 A129530 A056370 * A141442 A053932 A027507

Adjacent sequences: A056358 A056359 A056360 * A056362 A056363 A056364

Keyword

nonn

Author

Marks R. Nester

Extensions

Terms a(25) and beyond from Andrew Howroyd, Oct 24 2019

Status

approved