The On-Line Encyclopedia of Integer Sequences (OEIS)

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A056432

Step cyclic shifted sequence structures using a maximum of five different symbols.
(history; published version)

#6 by N. J. A. Sloane at Tue Aug 22 20:53:11 EDT 2017

AUTHOR

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

Marks R. Nester

Discussion

Tue Aug 22

20:53

OEIS Server: https://oeis.org/edit/global/2696

#5 by N. J. A. Sloane at Fri May 19 10:39:33 EDT 2017

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

Discussion

Fri May 19

10:39

OEIS Server: https://oeis.org/edit/global/2652

#4 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

KEYWORD

nonn,new

nonn

AUTHOR

Marks R. Nester (nesterm(AT)qfri1.se2.dpi.qld.gov.au)

#3 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Step cyclic shifted sequence structures using a maximum of five different characterssymbols.

COMMENTS

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent. Permuting the characters symbols will not change the structure.

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

REFERENCES

M. R. Nester, M. R. (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..

KEYWORD

nonn,new

nonn

AUTHOR

Marks R. Nester (nesterm@(AT)qfri1.se2.dpi.qld.gov.au)

#1 by N. J. A. Sloane at Sat Jul 22 03:00:00 EDT 2000

NAME

Step cyclic shifted sequence structures using a maximum of five different characters.

DATA

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

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 characters will not change the structure.

REFERENCES

Nester, M. R. (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.

KEYWORD

nonn

AUTHOR

Marks R. Nester (nesterm@qfri1.se2.dpi.qld.gov.au)

STATUS

approved