id:A121711 - OEIS Search Results

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Lexicographically smallest permutation of the natural numbers such that GCD(s(k-1)+1,a(k)) greater than GCD(s(k-1),a(k)+1), where s is the sum of preceding terms (A121712); a(1)=1.

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1, 2, 4, 8, 6, 10, 12, 11, 15, 5, 3, 9, 18, 14, 7, 16, 22, 20, 23, 21, 19, 13, 24, 26, 25, 30, 35, 28, 32, 34, 36, 38, 40, 42, 39, 52, 33, 27, 45, 46, 48, 44, 41, 50, 43, 54, 56, 58, 60, 62, 55, 49, 51, 57, 63, 17, 64, 66, 61, 31, 68, 65, 69, 59, 37, 70, 72, 76, 53, 47, 74, 78 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`GCD(A121712(n-1)+1,a(n)) > GCD(A121712(n-1),a(n)+1);` `inverse: A121713; fixed points: A121716;` `a(a(n)) = A121714(n).`
	LINKS	`Index entries for sequences related to GCD's.` `Index entries for sequences that are permutations of the natural numbers`
	CROSSREFS	`Sequence in context: A014257 A138284 A022478 this_sequence A125597 A151732 A109554` `Adjacent sequences: A121708 A121709 A121710 this_sequence A121712 A121713 A121714`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 18 2006`

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

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