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A056414 Number of step cyclic shifted sequences using a maximum of six different symbols. +0
5
6, 21, 56, 231, 462, 4291, 6966, 57561, 188866, 1519035, 3302922, 45921281, 83747286, 933081411, 3920355712, 22075451286, 62230996506, 940379310731, 1781757016326, 22856965214727, 87052415641136 (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: A056411 A056412 A056413 this_sequence A056415 A056416 A056417

Sequence in context: A137361 A058484 A074745 this_sequence A056341 A053809 A047520

KEYWORD

nonn

AUTHOR

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

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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