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%I #9 Jul 29 2017 13:08:34
%S 1,8,2,12,4,10,6,16,3,18,7,14,5,24,13,20,9,22,11,30,17,28,19,26,15,34,
%T 25,36,23,38,21,32,33,42,27,46,29,40,31,44,39,50,35,54,41,52,37,48,49,
%U 60,43,56,47,62,45,58,53,68,57,66,51,70,55,64,65,76,61,78,59,72,63,74
%N Permutation of Z, obtained by reflecting the juggling sequence A084511 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.
%C This permutation consists of three infinite cycles + infinite number of fixed points.
%H A. Karttunen, <a href="/A084507/a084507.scm.txt">Scheme-program for computing this sequence</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%p [seq(Z2N(A084495_Z2Z(N2Z(n))),n=1..45)];
%p N2Z := n -> ((-1)^n)*floor(n/2);
%p Z2N := z -> 2*abs(z)+`if`((z < 1),1,0);
%p A084495_Z2Z := z -> z+`if`((z > 0), A084511(z),`if`((z >= -3),2*(-z), A084511(A084494((-z)-3))));
%Y Inverse: A084496. Cf. also A084494, A084455, A084461, A084491, A084499, A065166.
%K nonn
%O 1,2
%A _Antti Karttunen_, Jun 02 2003
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