A065287 Infinite binary tree inspired permutation of N: 1 -> 3, 11ab..yz -> 11ab..yz1, 10ab..y0 -> 10ab..y, 10ab..y1 -> 11ab..y0.

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

Offset: 1

Author

Antti Karttunen, Oct 28 2001

Keywords

• nonn

Comments

On the right side every node replaces its right child, on the left side the left children replace their parents and the right children are transferred to the same offset - 1 at the right side (becoming left children). See comment at A065263.

Links

• Index entries for sequences that are permutations of the natural numbers

Crossrefs

A057114, A065263, A065269, A065275, A065281. Inverse: A065288, conjugated with A059893: A065289 and the inverse of that: A065290.

Programs

Maple

RightChildTransferred_1 := 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)+1); fi; if(0 = (n mod 2)) then RETURN(n/2); fi; RETURN(n + (2^k) - 1); end;