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Search: id:A056440
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| A056440 |
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Number of primitive (period n) step cyclic shifted sequence structures using a maximum of three different symbols. |
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+0
3
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| 1, 1, 2, 4, 5, 18, 15, 60, 80, 293, 295, 2217, 1777, 9763, 20632, 58362, 79553, 600696, 567543, 3671674, 6935728, 23785615, 31017007, 246154210, 282456327, 1357925621, 2615206650, 11358502734
(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)*A056430(n/d) where d divides n.
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CROSSREFS
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Cf. A056420.
Sequence in context: A062549 A092051 A065063 this_sequence A101843 A084592 A101587
Adjacent sequences: A056437 A056438 A056439 this_sequence A056441 A056442 A056443
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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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