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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: A128367 A137067 A008555 this_sequence A164805 A152918 A055877

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 November 24 14:25 EST 2009. Contains 167438 sequences.


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