id:A064614 - OEIS Search Results

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Exchange 2 and 3 in the prime factorization of n.

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1, 3, 2, 9, 5, 6, 7, 27, 4, 15, 11, 18, 13, 21, 10, 81, 17, 12, 19, 45, 14, 33, 23, 54, 25, 39, 8, 63, 29, 30, 31, 243, 22, 51, 35, 36, 37, 57, 26, 135, 41, 42, 43, 99, 20, 69, 47, 162, 49, 75, 34, 117, 53, 24, 55, 189, 38, 87, 59, 90, 61, 93, 28, 729, 65, 66, 67, 153, 46 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A self-inverse permutation of the natural numbers.` `a(1) = 1, a(2) = 3, a(3) = 2, a(p) = p for primes p > 3 and a(u * v) = a(u) * a(v) for u, v > 0.` `A permutation of the natural numbers: a(a(n)) = n for all n and a(n) = n iff n = 6^k * m for k >= 0 and m > 0 with gcd(m, 6) = 1 (see A064615).`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000` `Index entries for sequences that are permutations of the natural numbers`
	EXAMPLE	`a(15) = a(35) = a(3)a(5) = 25 = 10; a(16) = a(2^4) = a(2)^4 = 3^4 = 81; a(17) = 17; a(18) = a(23^2) = a(2)a(3^2) = 3a(3)^2 = 3*2^2 = 12.`
	CROSSREFS	`A064615.` `Sequence in context: A134562 A090639 A090880 this_sequence A016650 A033313 A140590` `Adjacent sequences: A064611 A064612 A064613 this_sequence A064615 A064616 A064617`
	KEYWORD	`mult,nice,nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 25 2001`

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.

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