id:A036585 - OEIS Search Results

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Ternary Thue-Morse sequence: closed under a->abc, b->ac, c->b.

+0
9

3, 2, 1, 3, 1, 2, 3, 2, 1, 2, 3, 1, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 3, 1, 2, 3, 2, 1, 2, 3, 1, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 3, 1, 2, 3, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 2, 1, 3, 1, 2, 3, 2, 1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`First differences of A001969. Observed by Franklin T. Adams-Watters, proved by Max Alekseyev, Aug 30 2006`
	REFERENCES	`M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 26.`
	FORMULA	`a(n) = A001969(n+1) - A001969(n). - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 28 2006`
	PROGRAM	`(PARI) a(n)=if(n<1\|valuation(n, 2)%2, 2, 2-(-1)^subst(Pol(binary(n)), x, 1))`
	CROSSREFS	`a(n) = A029883(n) + 2 = A036577(n) + 1.` `Cf. A001969.` `Sequence in context: A085068 A079587 A112745 this_sequence A164848 A130827 A070309` `Adjacent sequences: A036582 A036583 A036584 this_sequence A036586 A036587 A036588`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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