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A039982
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An example of a d-perfect sequence.
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2
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1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Concatenation of the bit sequences forming A035263. - David Callan (callan(AT)stat.wisc.edu), Oct 08 2005
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REFERENCES
| Martin Klazar and Florian Luca, On integrality and periodicity of the Motzkin numbers, Aequationes Math. 69 (2005), no. 1-2, 68-75.
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LINKS
| Martin Klazar and Florian Luca, On integrality and periodicity of the Motzkin numbers.
D. Kohel, S. Ling and C. Xing, Explicit Sequence Expansions
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FORMULA
| a(n) = A090344(n) mod 2 - Christian G. Bower (bowerc(AT)usa.net), Jun 12 2005 - Christian G. Bower (bowerc(AT)usa.net), Jun 12 2005
a(n) = M(2n) mod 2 where M(n) is the Motzkin number A001006. - David Callan (callan(AT)stat.wisc.edu), Oct 08 2005
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MATHEMATICA
| substitutionRule={1->{1, 0}, 0->{1, 1}}; makeSubstitution[seq_]:=Flatten[seq/.substitutionRule]; Flatten[NestList[makeSubstitution, {1}, 5]]
NestList[Flatten[ # /. {0 -> {1, 1}, 1 -> {1, 0}}] &, {1}, 6] // Flatten (from Robert G. Wilson v (rgwv(at)rgwv.com), Mar 29 2006)
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CROSSREFS
| Cf. A035263.
Sequence in context: A093719 A153778 A065251 * A131372 A098457 A137161
Adjacent sequences: A039979 A039980 A039981 * A039983 A039984 A039985
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Christian G. Bower (bowerc(AT)usa.net), Jun 12 2005
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