id:A131485 - OEIS Search Results

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Smallest positive integer k == n mod 3 not occurring earlier such that the sum of two successive terms is a square-free number.

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1, 2, 3, 4, 11, 6, 7, 8, 9, 10, 5, 12, 19, 14, 15, 22, 17, 18, 19, 20, 21, 16, 23, 24, 31, 20, 27, 28, 29, 30 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Mod 3 analogue of A077223. A permutation of the natural numbers. There's an obvious limit to the number of successive values which can be consecutive integers.`
	FORMULA	`a(n) = MIN{k > 0 such that 3\|(n-k) and k + a(n-1) not in A005117}. a(n) = MIN{k > 0 such that 3\|(n-k) and k + a(n-1) in A013929}.`
	CROSSREFS	`Cf. A005117, A013929, A077223.` `Sequence in context: A035358 A065633 A160652 this_sequence A075833 A117351 A108467` `Adjacent sequences: A131482 A131483 A131484 this_sequence A131486 A131487 A131488`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Oct 01 2007`

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.