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 A065275 Infinite binary tree inspired permutation of N: 1 -> 3, 11ab..yz -> 11ab..yz0, 10ab..y0 -> 10ab..y, 10ab..y1 -> 11ab..y1. 6
 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, 54, 56, 58, 60, 62, 16, 49, 17, 51, 18, 53, 19, 55, 20, 57, 21, 59, 22, 61, 23, 63, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 32, 97, 33, 99 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Table of n, a(n) for n=1..67. Index entries for sequences that are permutations of the natural numbers MAPLE 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; CROSSREFS A057114, A065263, A065269, A065281, A065287. Inverse: A065276, conjugated with A059893: A065277 and the inverse of that: A065278. Sequence in context: A122913 A289444 A069115 * A071045 A274317 A105358 Adjacent sequences: A065272 A065273 A065274 * A065276 A065277 A065278 KEYWORD nonn AUTHOR Antti Karttunen, Oct 28 2001 STATUS approved

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Last modified February 27 04:15 EST 2024. Contains 370362 sequences. (Running on oeis4.)