id:A130526 - OEIS Search Results

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A permutation of the integers induced by the lower and upper Wythoff sequences.

+0
2

0, 1, -1, 2, 3, -2, 4, -3, 5, 6, -4, 7, 8, -5, 9, -6, 10, 11, -7, 12, -8, 13, 14, -9, 15, 16, -10, 17, -11, 18, 19, -12, 20, 21, -13, 22, -14, 23, 24, -15, 25, -16, 26, 27, -17, 28, 29, -18, 30, -19, 31, 32, -20, 33, -21, 34, 35, -22, 36, 37, -23, 38, -24, 39, 40, -25, 41, 42, -26 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Another permutation of the integers is -A130526.`
	FORMULA	`a(0) = 0; a(n)=k if n=L(k); a(n)=-k if n=U(k), where L(k) = A000201(k)=Floor(n*phi) = Lower Wythoff sequence, U(k) = A001950(k) = k+L(k) = Upper Wythoff sequence.`
	EXAMPLE	`6=L(4), so a(6)=4.` `7=U(3), so a(7)=-3.`
	CROSSREFS	`Cf. A000201, A001950, A026242, A130527.` `Sequence in context: A085238 A026338 A026242 this_sequence A134834 A035583 A105079` `Adjacent sequences: A130523 A130524 A130525 this_sequence A130527 A130528 A130529`
	KEYWORD	`sign`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Jun 02 2007`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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