%I A112411
%S A112411 3,5,1,9,2,11,15,17,4,12,6,10,14,13,7,33,8,20,21,18,19,25,27,35,22,28,
%T A112411 23,26,30,29,63,65,16,36,24,34,38,37,43,48,42,41,39,49,46,45,55,40,44,
%U A112411 52,53,50,51,57,47,71,54,60,61,58,59,95,31,129,32,68,69,66,67,73,56,80
%N A112411 a(n) = smallest positive integer, not occurring earlier in the sequence 
               and not equal to n, that has the same number of (non-leading) 0's 
               in its binary representation as n.
%C A112411 Sequence is a permutation of the positive integers. It is its own inverse 
               permutation.
%H A112411 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A112411 Among positive integers not among the first 8 terms of the sequence, 
               4 (100 in binary) is the smallest positive integer which has the 
               same number of non-leading zeros in its binary representation as 
               9 (1001 in binary). So a(9) = 4.
%Y A112411 Cf. A094510, A023416.
%Y A112411 Sequence in context: A114216 A086233 A065395 this_sequence A021970 A115335 
               A054586
%Y A112411 Adjacent sequences: A112408 A112409 A112410 this_sequence A112412 A112413 
               A112414
%K A112411 base,easy,nonn
%O A112411 1,1
%A A112411 Leroy Quet Dec 08 2005
%E A112411 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 08 2008