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Search: id:A056430
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| A056430 |
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Number of step cyclic shifted sequence structures using a maximum of three different symbols. |
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4
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| 1, 2, 3, 6, 6, 22, 16, 66, 83, 300, 296, 2243, 1778, 9780, 20640, 58428, 79554, 600798, 567544, 3671978, 6935746, 23785912, 31017008, 246156513, 282456333, 1357927400, 2615206733, 11358512518
(list; graph; listen)
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OFFSET
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1,2
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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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Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.
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CROSSREFS
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Cf. A056411.
Sequence in context: A117777 A049297 A056391 this_sequence A089878 A057545 A015628
Adjacent sequences: A056427 A056428 A056429 this_sequence A056431 A056432 A056433
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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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