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A056431
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Step cyclic shifted sequence structures using a maximum of four different symbols.
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3
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1, 2, 3, 7, 7, 33, 29, 149, 245, 1230, 1665, 15973, 18199, 134482, 376433, 1415209, 2634597, 26534612, 33499359, 287002711, 727425501, 3332040944, 5794658931, 61120855045, 93825569009, 601444738252
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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
| M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia.
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FORMULA
| Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.
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CROSSREFS
| Cf. A056412.
Sequence in context: A104138 A083809 A092967 * A199466 A199966 A011027
Adjacent sequences: A056428 A056429 A056430 * A056432 A056433 A056434
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KEYWORD
| nonn
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AUTHOR
| Marks R. Nester (nesterm(AT)dpi.qld.gov.au)
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