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If A_k denotes the first 3^k terms, then A_0 = 0, A_{k+1} = A_k A_k B_k, where B_k is obtained from A_k by interchanging 0's and 1's.

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0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Called the Mephisto Waltz sequence.`
	REFERENCES	`Konrad Jacobs, Invitation to Mathematics, Princeton, 1992; pp. 105-106 and 215.`
	LINKS	`Joerg Arndt, Fxtbook` `Eric Weisstein's World of Mathematics, Mephisto Waltz Sequence`
	EXAMPLE	`The initial A_k's are 0 001 001001110 001001110001001110110110001 ...`
	CROSSREFS	`Cf. Thue-Morse sequence A010060, A001285. Number of 0's in A_k gives A007051, number of 1's is A003462. See also A064991.` `Adjacent sequences: A064987 A064988 A064989 this_sequence A064991 A064992 A064993` `Sequence in context: A072786 A125117 A100283 this_sequence A102215 A038189 A072783`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`Michael Gilleland (megilleland(AT)yahoo.com), Oct 31 2001`
	EXTENSIONS	`More terms from Naohiro Nomoto (n_nomoto(AT)yabumi.com), Nov 29 2001`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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