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A056441 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of four different symbols. +0
3
1, 1, 2, 5, 6, 29, 28, 142, 242, 1222, 1664, 15935, 18198, 134452, 376424, 1415060, 2634596, 26534337, 33499358, 287001476, 727425470, 3332039278, 5794658930, 61120838930, 93825569002, 601444720052 (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)*A056431(n/d) where d|n.

CROSSREFS

Cf. A056421.

Sequence in context: A137067 A008555 A105605 this_sequence A055877 A111190 A009376

Adjacent sequences: A056438 A056439 A056440 this_sequence A056442 A056443 A056444

KEYWORD

nonn

AUTHOR

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

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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