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Search: id:A056412
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| A056412 |
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Number of step cyclic shifted sequences using a maximum of four different symbols. |
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+0
7
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| 4, 10, 20, 55, 76, 430, 460, 2605, 5164, 26962, 38572, 367645, 431780, 3203430, 8993804, 33860125, 63177820, 636462350, 803796700, 6886280971, 17456594380, 79965550558, 139069427020, 1466861706095
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent.
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REFERENCES
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M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
R. C. Titsworth, (1964). Equivalence classes of periodic sequences. Illinois J. Math. 8: 266-270.
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FORMULA
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Refer to Titsworth or slight "simplification" in Nester..
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CROSSREFS
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Cf. A002729.
Sequence in context: A019498 A015889 A020149 this_sequence A032275 A015220 A047199
Adjacent sequences: A056409 A056410 A056411 this_sequence A056413 A056414 A056415
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KEYWORD
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nonn
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AUTHOR
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Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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