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A056432 Step cyclic shifted sequence structures using a maximum of five different symbols. 3
1, 2, 3, 7, 8, 36, 35, 201, 393, 2370, 3971, 46094, 66675, 613439, 2139350, 10016839, 23424253, 294723254, 465082931, 4972761822, 15773188813, 90323063945, 196342666487, 2587522663248, 4967200045397, 39800811900389 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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. A056413.

Sequence in context: A129645 A112994 A056036 * A056433 A064669 A068342

Adjacent sequences:  A056429 A056430 A056431 * A056433 A056434 A056435

KEYWORD

nonn

AUTHOR

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

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Last modified February 15 21:27 EST 2012. Contains 205859 sequences.