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%I #10 Nov 18 2016 23:21:22
%S 0,1,2,3,4,19,6,7,8,9,38,13,12,11,14,57,16,59,18,5,76,21,26,53,24,361,
%T 22,27,28,109,114,31,32,39,118,133,36,41,10,33,152,37,42,103,52,171,
%U 106,61,48,49,722,177,44,23,54,247,56,15,218,17,228,47,62,63,64
%N Self-inverse and multiplicative permutation of natural numbers, A235041-conjugate of balanced bit-reverse: a(n) = A235042(A057889(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. Permutation A234748 shares the same property.
%H Antti Karttunen, <a href="/A245453/b245453.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(A057889(A235041(n))).
%e Example of multiplicativity:
%e a(5)=19, a(11)=13, a(55) = a(5*11) = a(5) * a(11) = 19*13 = 247.
%o (Scheme) (define (A245453 n) (A235042 (A057889 (A235041 n))))
%Y Cf. A057889, A235041, A235042, A234748, A245450, A235027.
%K nonn,mult
%O 0,3
%A _Antti Karttunen_, Aug 07 2014