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A130526 A permutation of the integers induced by the lower and upper Wythoff sequences. 2

%I #2 Mar 30 2012 18:57:10

%S 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,

%T -10,17,-11,18,19,-12,20,21,-13,22,-14,23,24,-15,25,-16,26,27,-17,28,

%U 29,-18,30,-19,31,32,-20,33,-21,34,35,-22,36,37,-23,38,-24,39,40,-25,41,42,-26

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

%C Another permutation of the integers is -A130526.

%F 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.

%e 6=L(4), so a(6)=4.

%e 7=U(3), so a(7)=-3.

%Y Cf. A000201, A001950, A026242, A130527.

%K sign

%O 0,4

%A _Clark Kimberling_, Jun 02 2007

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)