id:A065269 - OEIS Search Results

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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).

+0
7

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; listen)

	OFFSET	`1,2`
	COMMENT	`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 this_sequence A137427 A055102 A098990` `Adjacent sequences: A065266 A065267 A065268 this_sequence A065270 A065271 A065272`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 28 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research