id:A048673 - OEIS Search Results

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Permutation of natural numbers obtained by replacing each prime divisor of n with the next prime and mapping the generated odd numbers to all integers.

+0
5

1, 2, 3, 5, 4, 8, 6, 14, 13, 11, 7, 23, 9, 17, 18, 41, 10, 38, 12, 32, 28, 20, 15, 68, 25, 26, 63, 50, 16, 53, 19, 122, 33, 29, 39, 113, 21, 35, 43, 95, 22, 83, 24, 59, 88, 44, 27, 203, 61, 74, 48, 77, 30, 188, 46, 149, 58, 47, 31, 158, 34, 56, 138, 365, 60, 98, 36, 86, 73 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Inverse of sequence A064216 considered as a permutation of the positive integers. - Howard A. Landman (howard(AT)polyamory.org), Sep 25 2001`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`a(1)=1, a(n)=(succfactorization(n)+1)/2, i.e. a(n)=floor((A045965[ n ]+1)/2)`
	EXAMPLE	`a(12)=23, as 12=2^2 * 3, thus ((3^2 * 5)+1)/2=23`
	CROSSREFS	`Cf. A045965 and A048674. Permutation of A000027.` `Sequence in context: A102398 A118317 A127522 this_sequence A096070 A075157 A046708` `Adjacent sequences: A048670 A048671 A048672 this_sequence A048674 A048675 A048676`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen, Jul 14 1999`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

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