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Permutation of nonnegative integers produced when the finite permutations listed by A060117 are subjected to the left-right maxima variant of Foata's transformation. Inverse of A065183.
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%I #5 Apr 30 2014 01:53:00

%S 0,1,2,5,3,4,6,7,14,23,15,22,8,21,12,16,19,11,17,10,9,13,20,18,24,25,

%T 26,29,27,28,54,55,86,119,87,118,56,117,84,88,115,59,89,58,57,85,116,

%U 114,30,31,80,107,81,106,48,49,60,67,61,66,74,92,38,113,47,101,112,100

%N Permutation of nonnegative integers produced when the finite permutations listed by A060117 are subjected to the left-right maxima variant of Foata's transformation. Inverse of A065183.

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%p [seq(PermRank3R(Foata(PermUnrank3R(j))),j=0..119)];

%Y A065161-A065163 give cycle counts and max lengths. Cf. also A065181, A065182 for Maple procedure Foata and A060117 for PermUnrank3R and A060125 for PermRank3R.

%K nonn

%O 0,3

%A _Antti Karttunen_, Oct 19 2001