%I #11 Feb 27 2020 22:48:59
%S 1,3,5,9,7,15,13,27,25,21,17,45,11,39,35,81,19,75,29,63,65,51,37,135,
%T 49,33,125,117,23,105,41,243,85,57,91,225,31,87,55,189,43,195,53,153,
%U 175,111,61,405,169,147,95,99,47,375,119,351,145,69,73,315,59,123,325,729,77,255,89,171,185,273,97,675,67,93,245,261,221,165,101
%N a(n) = A108548(A003961(A332808(n))).
%C Permutation of odd numbers. Preserves prime signature.
%H Antti Karttunen, <a href="/A332818/b332818.txt">Table of n, a(n) for n = 1..26921</a>
%F Fully multiplicative with a(2) = 3, a(A002145(n)) = A002144(n) and a(A002144(n)) = A002145(1+n), for all n >= 1.
%F a(n) = A108548(A003961(A332808(n))).
%F A332819(a(n)) = n.
%F A046523(a(n)) = A046523(n).
%o (PARI) A332818(n) = A108548(A003961(A332808(n)));
%Y Cf. A002144, A002145, A003961, A046523, A108548, A332808.
%Y Cf. A332819 (a left inverse).
%K nonn,mult
%O 1,2
%A _Antti Karttunen_, Feb 27 2020