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A234744 Multiplicative permutation of integers: a(n) = A234840(A235199(n)). 9

%I #11 Jan 18 2014 15:48:44

%S 0,1,3,2,9,61,6,19,27,4,183,101,18,281,57,122,81,11,12,5,549,38,303,

%T 263,54,3721,843,8,171,157,366,31,243,202,33,1159,36,1811,15,562,1647,

%U 1091,114,29,909,244,789,131,162,361,11163,22,2529,541,24,6161,513,10,471,59,1098,7

%N Multiplicative permutation of integers: a(n) = A234840(A235199(n)).

%C Please see the comments at A234743. The observations given there apply also here.

%H Antti Karttunen, <a href="/A234744/b234744.txt">Table of n, a(n) for n = 0..378</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F a(n) = A234840(A235199(n)).

%F Multiplicative with a(p_i) = p_{A235048(i)} for primes with index i, except for cases i=3 and i=4, use p_18 and p_8 (61 and 19) instead of 19 and 61. For the composites, the value is determined as: a(u*v) = a(u) * a(v).

%o (Scheme) (define (A234744 n) (A234840 (A235199 n)))

%Y Inverse: A234743. Similarly composed multiplicative permutations, with more tractable cycle structures: A235485/A235486, A235493/A235494.

%Y Cf. A234840, A235199, A235048.

%K nonn,mult

%O 0,3

%A _Antti Karttunen_, Jan 04 2014

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