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Search: id:A083570
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| A083570 |
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A de Bruijn sequence of length 9 over {0, 1, 2}, repeated. |
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+0
1
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| 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Each of the 9 pairs 00, 01, ..., 22 occurs exactly once in each period.
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REFERENCES
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F. Mendivil, Fractals, graphs and fields, Amer. Math. Monthly, 110 (No. 6, 2003), 503-515.
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FORMULA
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a(n)=(1/36)*{9*(n mod 9)-7*[(n+1) mod 9]+5*[(n+2) mod 9]+5*[(n+3) mod 9]+[(n+4) mod 9]-3*[(n+5) mod 9]+[(n+6) mod 9]-3*[(n+7) mod 9]+[(n+8) mod 9]}, with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Aug 24 2007
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CROSSREFS
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Sequence in context: A141335 A133624 A030110 this_sequence A153240 A153241 A096830
Adjacent sequences: A083567 A083568 A083569 this_sequence A083571 A083572 A083573
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jun 14 2003
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