id:A088569 - OEIS Search Results

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Anti-Kolakoski sequence (sequence of length runs never coincides with the sequence itself).

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1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Unique infinite word defined on alphabet {1,2} satisfying: a(1)=1, if a(n)=2 length of n-th run is 1, if a(n)=1 length of n-th run is 2. Kolakoski sequence satisfies the opposite definition : K(1)=1, if K(n)=2 length of n-th run is 2, if K(n)=1 length of n-th run is 1.`
	FORMULA	`a(n)=3-A000002(n+1)=A049705(n+1)`
	EXAMPLE	`a(1)=1 hence first run must have length 2 and necessarily a(2)=1. Now second run must have also length 2 and therefore a(3)=a(4)=2.`
	CROSSREFS	`Sequence in context: A164295 A035214 A071292 this_sequence A001285 A088424 A097456` `Adjacent sequences: A088566 A088567 A088568 this_sequence A088570 A088571 A088572`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 17 2003`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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