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Permutation of N induced by rotating the node 6 right in the infinite planar binary tree shown at A065658.
2

%I #5 May 01 2014 02:49:15

%S 1,2,115,4,5,234881023,7,8,9,10,11,877,112,475,15,16,17,18,19,20,21,

%T 22,23,52,445,57355,3616,235,1915,30,31,32,33,34,35,36,37,38,39,40,41,

%U 42,43,44,45,46,47,103,13,14191,28615,917506,229630,3613,454,934,120832

%N Permutation of N induced by rotating the node 6 right in the infinite planar binary tree shown at A065658.

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

%e This permutation touches only the rationals in the range ]1/2, 3/4[, which for example contains the sixth node = 3/5 of the SB ]0,1[ tree (A007305/A007306) which has an infinite, but periodic binary fractional expansion 0.100110011001... and by this permutation it is changed to 0.1010100110011001... = 53/80, which is located as the 234881023th node in the SB ]0,1[ tree.

%p [seq(RotateBinFracNodeRight(6,j),j=1..256)];

%Y The sixth row of A065658. Inverse of A065671.

%K nonn

%O 1,2

%A _Antti Karttunen_, Nov 22 2001