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 A084461 Permutation of Z, obtained by reflecting the juggling sequence A084458 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N. 7

%I

%S 1,10,2,12,4,18,6,8,9,20,3,28,5,14,15,16,17,24,7,34,11,22,23,38,19,26,

%T 27,46,13,30,31,32,33,48,21,36,37,58,25,40,41,42,43,44,45,60,29,72,35,

%U 50,51,52,53,54,55,56,57,66,39,80,47,62,63,64,65,84,59,68,69,70,71,94

%N Permutation of Z, obtained by reflecting the juggling sequence A084458 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(A084461_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 A084461_Z2Z := z -> z+`if`((z > 0), A084458(z),`if`((z >= -3),2*(-z), A084458(A084460((-z)-3))));

%Y Inverse: A084462. Cf. also A084460, A084455, A084491, A084495, A084499, A065166.

%K nonn

%O 1,2

%A _Antti Karttunen_ Jun 02 2003

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