id:A026255 - OEIS Search Results

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Beginning with the natural numbers, swap [ k*sqrt(3) ] and [ (k/2)*(3 + sqrt(3)) ], for all k >= 1.

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2, 1, 4, 3, 7, 9, 5, 11, 6, 14, 8, 16, 18, 10, 21, 12, 23, 13, 26, 28, 15, 30, 17, 33, 35, 19, 37, 20, 40, 22, 42, 44, 24, 47, 25, 49, 27, 52, 54, 29, 56, 31, 59, 32, 61, 63, 34, 66, 36, 68, 70, 38, 73, 39, 75, 41, 78, 80, 43, 82, 45, 85, 46 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Self-inverse integer permutation induced by Beatty sequences for sqrt(3) and (3+sqrt(3))/2. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 11 2005`
	LINKS	`Eric Weisstein's World of Mathematics, Beatty Sequence` `Index entries for sequences that are permutations of the natural numbers` `Index entries for sequences related to Beatty sequences`
	FORMULA	`a(A022838(n))=A054406(n) and a(A054406(n))=A022838(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 11 2005`
	CROSSREFS	`Cf. A026250, A026262.` `Sequence in context: A120751 A054082 A101708 this_sequence A109250 A138236 A058354` `Adjacent sequences: A026252 A026253 A026254 this_sequence A026256 A026257 A026258`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`

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Last modified July 25 02:12 EDT 2008. Contains 142294 sequences.

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