id:A117303 - OEIS Search Results

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Self-inverse permutaton of the natural numbers based on the bijection (2*x-1)*2^(y-1) <--> (2*y-1)*2^(x-1).

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1, 3, 2, 5, 4, 6, 8, 7, 16, 12, 32, 10, 64, 24, 128, 9, 256, 48, 512, 20, 1024, 96, 2048, 14, 4096, 192, 8192, 40, 16384, 384, 32768, 11, 65536, 768, 131072, 80, 262144, 1536, 524288, 28, 1048576, 3072, 2097152, 160, 4194304, 6144, 8388608, 18, 16777216 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(a(n)) = n; fixed points A014480: a(A014480(n)) = A014480(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 27 2006`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`a(n) = (2A001511(n) - 1) 2^(A003602(n) - 1).`
	CROSSREFS	`Cf. A000265, A007814, A006519, A005408, A000079.` `Cf. A118413, A118416.` `Sequence in context: A118209 A109451 A160017 this_sequence A054068 A054069 A135762` `Adjacent sequences: A117300 A117301 A117302 this_sequence A117304 A117305 A117306`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 24 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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