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Search: id:A039982
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| A039982 |
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An example of a d-perfect sequence. |
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+0
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; listen)
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OFFSET
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1,1
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COMMENT
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Concatenation of the bit sequences forming A035263. - David Callan (callan(AT)stat.wisc.edu), Oct 08 2005
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REFERENCES
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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
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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
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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
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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
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Cf. A035263.
Sequence in context: A093719 A153778 A065251 this_sequence A131372 A098457 A137161
Adjacent sequences: A039979 A039980 A039981 this_sequence A039983 A039984 A039985
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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).
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net), Jun 12 2005
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