Search: id:A064614
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%I A064614
%S A064614 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,
%T A064614 8,63,29,30,31,243,22,51,35,36,37,57,26,135,41,42,43,99,20,69,47,162,
%U A064614 49,75,34,117,53,24,55,189,38,87,59,90,61,93,28,729,65,66,67,153,46
%N A064614 Exchange 2 and 3 in the prime factorization of n.
%C A064614 A self-inverse permutation of the natural numbers.
%C A064614 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.
%C A064614 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).
%H A064614 T. D. Noe, <a href="b064614.txt">Table of n, a(n) for n=1..1000</a>
%H A064614 <a href="Sindx_Per.html#IntegerPermutation">Index entries for sequences 
               that are permutations of the natural numbers</a>
%e A064614 a(15) = a(3*5) = a(3)*a(5) = 2*5 = 10; a(16) = a(2^4) = a(2)^4 = 3^4 
               = 81; a(17) = 17; a(18) = a(2*3^2) = a(2)*a(3^2) = 3*a(3)^2 = 3*2^2 
               = 12.
%Y A064614 A064615.
%Y A064614 Sequence in context: A134562 A090639 A090880 this_sequence A016650 A033313 
               A140590
%Y A064614 Adjacent sequences: A064611 A064612 A064613 this_sequence A064615 A064616 
               A064617
%K A064614 mult,nice,nonn
%O A064614 1,2
%A A064614 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 25 2001

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