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Search: id:A056413
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| A056413 |
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Number of step cyclic shifted sequences using a maximum of five different symbols. |
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+0
6
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| 5, 15, 35, 120, 201, 1505, 2015, 14070, 37085, 246753, 445515, 5205790, 7832185, 72703645, 254689657, 1196213445, 2805046965, 35322811755, 55770979195, 596439735024, 1892294578755, 10837223014665
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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: A019499 A019531 A091875 this_sequence A032276 A065780 A105720
Adjacent sequences: A056410 A056411 A056412 this_sequence A056414 A056415 A056416
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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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