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A056411 Number of step cyclic shifted sequences using a maximum of three different symbols. +0
8
3, 6, 10, 21, 24, 92, 78, 327, 443, 1632, 1698, 12769, 10464, 57840, 122822, 348222, 476052, 3597442, 3401970, 22006959, 41597374, 142677588, 186077886, 1476697627, 1694658003, 8147282460, 15690973754 (list; graph; listen)
OFFSET

1,1

COMMENT

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent.

REFERENCES

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

R. C. Titsworth, (1964). Equivalence classes of periodic sequences. Illinois J. Math. 8: 266-270.

FORMULA

Refer to Titsworth or slight "simplification" in Nester.

CROSSREFS

Cf. A002729.

Adjacent sequences: A056408 A056409 A056410 this_sequence A056412 A056413 A056414

Sequence in context: A122628 A068865 A060179 this_sequence A068855 A068882 A076713

KEYWORD

nonn

AUTHOR

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

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Last modified October 12 15:26 EDT 2008. Contains 144830 sequences.


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