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A056433 Step cyclic shifted sequence structures using a maximum of six different symbols. +0
3
1, 2, 3, 7, 8, 37, 36, 219, 452, 3000, 5652, 74961, 126758, 1371016, 5653854, 31440841, 87796362, 1319722484, 2491714134, 31893717065, 121274777228, 832622962686, 2170594048582, 34308978981089 (list; graph; listen)
OFFSET

1,2

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

Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.

CROSSREFS

Cf. A056414.

Adjacent sequences: A056430 A056431 A056432 this_sequence A056434 A056435 A056436

Sequence in context: A112994 A056036 A056432 this_sequence A064669 A068342 A038034

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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