id:A115316 - OEIS Search Results

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Lexicographically smallest permutation of the natural numbers such that each prime number is followed by exactly two composite numbers.

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1, 2, 4, 6, 3, 8, 9, 5, 10, 12, 7, 14, 15, 11, 16, 18, 13, 20, 21, 17, 22, 24, 19, 25, 26, 23, 27, 28, 29, 30, 32, 31, 33, 34, 37, 35, 36, 41, 38, 39, 43, 40, 42, 47, 44, 45, 53, 46, 48, 59, 49, 50, 61, 51, 52, 67, 54, 55, 71, 56, 57, 73, 58, 60, 79, 62, 63, 83, 64, 65, 89, 66 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`inverse: A115318; A115317 = a(a(n));` `a(3n-2)=A018252(2n-1), a(3n-1)=A000040(n), a(3n)=A018252(2*n);` `A002808(n) = a(n+1+floor((n+1)/2));` `fixed points = {1,2,27,28,29,30,33,34}, also for A115317, A115318, A115319.`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	CROSSREFS	`Cf. A073846.` `Sequence in context: A140645 A117532 A057336 this_sequence A089088 A073899 A101543` `Adjacent sequences: A115313 A115314 A115315 this_sequence A115317 A115318 A115319`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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