A065269 Infinite binary tree inspired permutation of N: 1 -> 1, 11ab..yz -> 11ab..yz0, 10ab..y1 -> 10ab..y, 10ab..y0 -> 11AB..Y1 (where 1AB..Y1 is the complement of 0ab..y0).

1, 3, 6, 7, 2, 12, 14, 15, 4, 13, 5, 24, 26, 28, 30, 31, 8, 29, 9, 27, 10, 25, 11, 48, 50, 52, 54, 56, 58, 60, 62, 63, 16, 61, 17, 59, 18, 57, 19, 55, 20, 53, 21, 51, 22, 49, 23, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 127, 32, 125, 33

Offset

1,2

Comments

On the right side every node replaces its left child, on the left side the right children replace their parents and the left children are reflected to the right side (becoming 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

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

Crossrefs

A057114, A065263, A065275, A065281, A065287. Inverse: A065270, conjugated with A059893: A065271 and the inverse of that: A065272.

Sequence in context: A133329 A275696 A080260 * A137427 A177035 A055102

Adjacent sequences: A065266 A065267 A065268 * A065270 A065271 A065272

Keyword

nonn

Author

Antti Karttunen, Oct 28 2001

Status

approved