A161817 - OEIS

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A161817

Positions n such that A010060(n)=A010060(n+5).

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, 56, 58, 59, 60, 62, 63, 64, 66, 69, 72, 74, 75, 76, 78, 79, 80, 82, 85, 88, 90, 93, 96, 98, 101, 104, 106, 107, 108, 110, 111, 112, 114, 117, 120, 122, 125, 128, 130, 133, 136, 138, 139, 140, 142, 143, 144 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Let A=Axxxxxx be any sequence. Denote A^* the intersection of A and the union of sequences {4A(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]`
	LINKS	`V. Shevelev, Equations of the form t(x+a)=t(x) and t(x+a)=1-t(x) for Thue-Morse sequence, arXiv:0907.0880 [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 31 2009]`
	CROSSREFS	`Cf. A161674 A161673 A161639 A161641 A161627 A161579 A161580 A121539 A131323 A036554 A010060 A079523 A081706` `Sequence in context: A072476 A167541 A078345 * A080228 A153052 A166955` `Adjacent sequences: A161814 A161815 A161816 * A161818 A161819 A161820`
	KEYWORD	`nonn,uned`
	AUTHOR	`Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jun 20 2009`

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Last modified February 17 16:00 EST 2012. Contains 206050 sequences.