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Search: id:A161817
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| 0, 2, 5, 8, 10, 11, 12, 14, 15, 16, 18, 21, 24, 26, 29, 32, 34, 37, 40, 42, 43, 44, 46, 47, 48, 50, 53
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OFFSET
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0,2
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COMMENT
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Let A=Axxxxxx be any sequence from OEIS. Denote A^* the transection of A and the union of sequences {4*A(n)+k}, k=-1,0,1,2. Then the sequence is the union of (A079523)^* and (A121539)^*.
Conjecture. In every sequence of numbers n, such that A010060(n)=A010060(n+k), for fixed odd k, the odious (A000069) and evil (A001969) terms alternate. [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 31 2009]
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LINKS
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V. Shevelev,Equations of the form $t(x+a)=t(x)$ and $t(x+a)=1-t(x)$ for Thue-Morse sequence [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 31 2009]
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CROSSREFS
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A161674 A161673 A161639 A161641 A161627 A161579 A161580 A121539 A131323 A036554 A010060 A079523 A081706
Sequence in context: A072476 A167541 A078345 this_sequence A080228 A153052 A166955
Adjacent sequences: A161814 A161815 A161816 this_sequence A161818 A161819 A161820
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KEYWORD
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nonn,uned
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jun 20 2009
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