Search: id:A130526
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%I A130526
%S A130526 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,
%T A130526 19,12,20,21,13,22,14,23,24,15,25,16,26,27,17,28,29,18,30,19,31,32,20,
%U A130526 33,21,34,35,22,36,37,23,38,24,39,40,25,41,42,26
%V A130526 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,
%W A130526 -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,
%X A130526 35,-22,36,37,-23,38,-24,39,40,-25,41,42,-26
%N A130526 A permutation of the integers induced by the lower and upper Wythoff 
               sequences.
%C A130526 Another permutation of the integers is -A130526.
%F A130526 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 A130526 6=L(4), so a(6)=4.
%e A130526 7=U(3), so a(7)=-3.
%Y A130526 Cf. A000201, A001950, A026242, A130527.
%Y A130526 Sequence in context: A085238 A026338 A026242 this_sequence A134834 A035583 
               A145178
%Y A130526 Adjacent sequences: A130523 A130524 A130525 this_sequence A130527 A130528 
               A130529
%K A130526 sign
%O A130526 0,4
%A A130526 Clark Kimberling (ck6(AT)evansville.edu), Jun 02 2007

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