id:A065281 - OEIS Search Results

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

+0
7

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 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`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	`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: A001663 A085052 A016666 this_sequence A019952 A021883 A075785` `Adjacent sequences: A065278 A065279 A065280 this_sequence A065282 A065283 A065284`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Oct 28 2001`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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