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A056443 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of six different symbols. +0
2
1, 1, 2, 5, 7, 33, 35, 212, 449, 2991, 5651, 74919, 126757, 1370979, 5653844, 31440622, 87796361, 1319721998, 2491714133, 31893714060, 121274777190, 832622957033, 2170594048581, 34308978905916 (list; graph; listen)
OFFSET

1,3

COMMENT

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent. Permuting the symbols will not change the structure.

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.

FORMULA

sum mu(d)*A056433(n/d) where d|n.

CROSSREFS

Cf. A056423.

Sequence in context: A082013 A083777 A056442 this_sequence A042931 A085394 A041875

Adjacent sequences: A056440 A056441 A056442 this_sequence A056444 A056445 A056446

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm(AT)dpi.qld.gov.au)

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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