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Search: id:A080679
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| A080679 |
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Example of de Bruijn cycle of length 16 (repeated indefinitely) |
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1
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| 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. G. de Bruijn, A combinatorial problem, Koninklijke Nederlandse Akademie v. Wetenschappen 49, 758-764, 1946.
F. R. K. Chung, P. Diaconis and R. L. Graham, Universal cycles for combinatorial structures, Discr. Math., 110 (1992), 43-59.
S. W. Golomb, Shift-Register Sequences, Holden-Day, San Francisco, 1967, Chap. VI, Section 2.2.
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LINKS
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Alex Bogomolny, Lewis Carroll to Archimedes
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FORMULA
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a(n)=(1/240)*{16*(n mod 16)+[(n+1) mod 16]+[(n+2) mod 16]+[(n+3) mod 16]-14*[(n+4) mod 16]+16*[(n+5) mod 16]-14*[(n+6) mod 16]+16*[(n+7) mod 16]+[(n+8) mod 16]-14*[(n+9) mod 16]+[(n+10) mod 16]+16*[(n+11) mod 16]-14*[(n+12) mod 16]+[(n+13) mod 16]+[(n+14) mod 16]+[(n+15) mod 16]}.
Periodic with period 16.
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CROSSREFS
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Sequence in context: A080343 A011664 A094091 this_sequence A011662 A011665 A071005
Adjacent sequences: A080676 A080677 A080678 this_sequence A080680 A080681 A080682
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KEYWORD
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nonn
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AUTHOR
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njas, Mar 03 2003
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