A065281 Infinite binary tree inspired permutation of N: 1 -> 1, 11ab..yz -> 11ab..yz1, 10ab..y1 -> 10ab..y, 10ab..y0 -> 11ab..y0.

1, 3, 7, 6, 2, 13, 15, 12, 4, 14, 5, 25, 27, 29, 31, 24, 8, 26, 9, 28, 10, 30, 11, 49, 51, 53, 55, 57, 59, 61, 63, 48, 16, 50, 17, 52, 18, 54, 19, 56, 20, 58, 21, 60, 22, 62, 23, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 96, 32, 98, 33

Offset

1,2

Comments

On the right side every node replaces its right child, on the left side the right children replace their parents and the left children are transferred to the same offset at the right side (staying left 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

LeftChildTransferred := proc(n) local k; if(1 = n) then RETURN(1); fi; k := floor_log_2(n)-1; if(3 = floor(n/(2^k))) then RETURN((2*n)+1); fi; if(1 = (n mod 2)) then RETURN((n-1)/2); fi; RETURN(n + (2^k)); end;

Crossrefs

A057114, A065263, A065269, A065275, A065287. Inverse: A065282, conjugated with A059893: A065283 and the inverse of that: A065284.

Sequence in context: A016666 A318352 A301814 * A256848 A019952 A157699

Adjacent sequences: A065278 A065279 A065280 * A065282 A065283 A065284

Keyword

nonn

Author

Antti Karttunen, Oct 28 2001

Status

approved