A065269 - OEIS

This site is supported by donations to The OEIS Foundation.

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 (list; graph; refs; listen; history; internal format)

	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	`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: A133340 A133329 A080260 * A137427 A177035 A055102` `Adjacent sequences: A065266 A065267 A065268 * A065270 A065271 A065272`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 28 2001`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 18:38 EST 2012. Contains 206074 sequences.