This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A065275 #5 May 01 2014 02:42:46 %S A065275 3,1,6,2,7,12,14,4,13,5,15,24,26,28,30,8,25,9,27,10,29,11,31,48,50,52, %T A065275 54,56,58,60,62,16,49,17,51,18,53,19,55,20,57,21,59,22,61,23,63,96,98, %U A065275 100,102,104,106,108,110,112,114,116,118,120,122,124,126,32,97,33,99 %N A065275 Infinite binary tree inspired permutation of N: 1 -> 3, 11ab..yz -> 11ab..yz0, 10ab..y0 -> 10ab..y, 10ab..y1 -> 11ab..y1. %C A065275 On the right side every node replaces its left child, on the left side the left children replace their parents and the right children are transferred to the same offset at the right side (staying right children). See comment at A065263. %H A065275 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a> %p A065275 RightChildTransferred := proc(n) local k; if(1 = n) then RETURN(3); fi; k := floor_log_2(n)-1; if(3 = floor(n/(2^k))) then RETURN(2*n); fi; if(0 = (n mod 2)) then RETURN(n/2); fi; RETURN(n + (2^k)); end; %Y A065275 A057114, A065263, A065269, A065281, A065287. Inverse: A065276, conjugated with A059893: A065277 and the inverse of that: A065278. %K A065275 nonn %O A065275 1,1 %A A065275 _Antti Karttunen_, Oct 28 2001