A120614 - OEIS

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A120614

a(n)=g(n)-g(n-1) where g(k)=floor(phi*floor(k/phi)) and phi=(1+sqrt(5))/2.

0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	FORMULA	`a(floor(kphi)+k+1)=0 ; a(floor(kphi)+k+2)=2, if n is not in {floor(kphi)+k+1}U{floor(kphi)+k+2}_{k>=1} a(n)=1` `The word obtained after deleting the initial string {0,1}, 0210202102102021020..., is a fixed point of the morphism 02-->10202 and 102-->10210202`
	CROSSREFS	`Cf. A120613, A120615.` `Sequence in context: A194313 A127476 A140397 * A097567 A022881 A093201` `Adjacent sequences: A120611 A120612 A120613 * A120615 A120616 A120617`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (abmt(AT)orange.fr), Jun 17 2006`

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Last modified February 16 03:44 EST 2012. Contains 205860 sequences.