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A056302
Number of primitive (period n) n-bead necklace structures using a maximum of six different colored beads.
3
1, 1, 2, 5, 11, 39, 125, 532, 2301, 11010, 54681, 284023, 1509851, 8194902, 45080652, 250641356, 1404374247, 7917209005, 44848645457, 255055220735, 1455247360000, 8326191235902, 47752990403133
OFFSET
1,3
COMMENTS
Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.
a(n) = A107424(n, 1)+A107424(n, 2)+...+A107424(n, 6). - David Wasserman, May 31 2005
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]
FORMULA
sum mu(d)*A056294(n/d) where d|n and n>0.
CROSSREFS
Cf. A032164.
Sequence in context: A367969 A056301 A001344 * A276547 A065850 A191029
KEYWORD
nonn
STATUS
approved