id:A061898 - OEIS Search Results

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Swap each prime in factorization of n with "neighbor" prime.

+0
5

1, 3, 2, 9, 7, 6, 5, 27, 4, 21, 13, 18, 11, 15, 14, 81, 19, 12, 17, 63, 10, 39, 29, 54, 49, 33, 8, 45, 23, 42, 37, 243, 26, 57, 35, 36, 31, 51, 22, 189, 43, 30, 41, 117, 28, 87, 53, 162, 25, 147, 38, 99, 47, 24, 91, 135, 34, 69, 61, 126, 59, 111, 20, 729, 77, 78, 71, 171, 58 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Here "neighbor" primes are just paired in order: 2<->3, 5<->7, 11<->13, etc. Self-inverse permutation of the integers. Multiplicative.`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	EXAMPLE	`a(60)=126 since 60=2^235, swapping 2<->3 and 5<->7 gives 3^227=126 (and of course then a(126)=60).`
	CROSSREFS	`A045965.` `Sequence in context: A134480 A011323 A072027 this_sequence A021756 A084398 A118306` `Adjacent sequences: A061895 A061896 A061897 this_sequence A061899 A061900 A061901`
	KEYWORD	`easy,nonn,mult`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com), May 14 2001`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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