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Search: id:A056442
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| A056442 |
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Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols. |
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3
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| 1, 1, 2, 5, 7, 32, 34, 194, 390, 2361, 3970, 46053, 66674, 613403, 2139340, 10016638, 23424252, 294722828, 465082930, 4972759447, 15773188776, 90323059973, 196342666486, 2587522616960, 4967200045389, 39800811833713
(list; graph; listen)
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OFFSET
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1,3
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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. Permuting the symbols will not change the structure.
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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.
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FORMULA
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sum mu(d)*A056432(n/d) where d|n.
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CROSSREFS
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Cf. A056422.
Adjacent sequences: A056439 A056440 A056441 this_sequence A056443 A056444 A056445
Sequence in context: A082013 A118786 A083777 this_sequence A056443 A042931 A085394
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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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