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A130526 A permutation of the integers induced by the lower and upper Wythoff sequences. 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; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Another permutation of the integers is -A130526.

LINKS

Table of n, a(n) for n=0..68.

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: A214371 A026338 A026242 * A174523 A261172 A134834

Adjacent sequences:  A130523 A130524 A130525 * A130527 A130528 A130529

KEYWORD

sign

AUTHOR

Clark Kimberling, Jun 02 2007

STATUS

approved

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Last modified May 11 19:29 EDT 2021. Contains 343808 sequences. (Running on oeis4.)