# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a073842
Showing 1-1 of 1

%I A073842 #6 Dec 05 2013 19:55:31
%S A073842 1,4,9,2,25,36,49,64,3,100,121,144,169,196,225,256,289,324,361,400,
%T A073842 441,484,529,576,5,676,729,784,841,900,961,1024,1089,1156,1225,6,1369,
%U A073842 1444,1521,1600,1681,1764,1849,1936,2025,2116,2209,2304,7,2500,2601,2704
%N A073842 a(1) = 1; for n>1, a(n) = the smallest positive integer root of n not included earlier, if such a root exists, otherwise the smallest power of n not included earlier, subject to a(n)<>n.
%C A073842 Conjectured to be a rearrangement of the natural numbers.
%C A073842 This is a self-inverse permutation of the positive integers, as shown by the formula. - _Franklin T. Adams-Watters_, Jul 31 2006
%F A073842 By repeatedly taking the square root, represent n in the form m^(2^k), where m is not a square and k>=0. If k is even, a(n) = m^(2^(k+1)); if k is odd, a(n) = m^(2^(k-1)). - _Franklin T. Adams-Watters_, Jul 31 2006
%Y A073842 Cf. A073843.
%K A073842 nonn
%O A073842 1,2
%A A073842 _Amarnath Murthy_, Aug 13 2002
%E A073842 Extended and edited by _John W. Layman_, Jun 25 2003

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE