%I #11 Nov 18 2016 23:22:11
%S 0,1,3,2,9,31,6,7,27,4,93,13,18,11,21,62,81,37,12,19,279,14,39,67,54,
%T 961,33,8,63,73,186,5,243,26,111,217,36,17,57,22,837,61,42,53,117,124,
%U 201,59,162,49,2883,74,99,43,24,403,189,38,219,47,558,41,15,28,729,341,78,23,333
%N Self-inverse and multiplicative permutation of natural numbers, A235041-conjugate of Blue code: a(n) = A235042(A193231(A235041(n))).
%C a(n) has the same prime signature as n: The permutation maps primes to primes, squares to squares, cubes to cubes, and so on.
%H Antti Karttunen, <a href="/A234748/b234748.txt">Table of n, a(n) for n = 0..624</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F a(n) = A235042(A193231(A235041(n))).
%e Example of multiplicativity:
%e a(5)=31, a(11)=13, a(5*11) = a(55) = a(5) * a(11) = 31*13 = 403.
%o (Scheme) (define (A234748 n) (A235042 (A193231 (A235041 n))))
%Y Cf. A234747 for a variant.
%K nonn,mult
%O 0,3
%A _Antti Karttunen_, Dec 31 2013