%I A140459
%S A140459 4,5,8,10,13,16,17,26,27,29,32,33,34,35,36,37,41,48,51,53,54,57,58,61,
%T A140459 64,65,66,70,73,74,80,82,89,91,96,97,100,101,102,106,109,112,113,114,
%U A140459 115,122,123,128,129,130,135,137,144,145,146,149,153,155,157,160,161
%N A140459 A positive integer n is included if n can be added to d(n) in binary 
               without any carries, where d(n) is the number of positive divisors 
               of n. In other words, no 1 in the binary representation of n is in 
               the same position as any 1 in the binary representation of d(n).
%H A140459 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A140459 27 in binary is 11011. 27 has 4 divisors. 4 in binary is 100. Comparing 
               11011 and 100, it is seen that the two do not have any ones in the 
               same position, so 27 is included in the sequence.
%Y A140459 Sequence in context: A026491 A033157 A059659 this_sequence A139132 A022435 
               A116050
%Y A140459 Adjacent sequences: A140456 A140457 A140458 this_sequence A140460 A140461 
               A140462
%K A140459 base,nonn
%O A140459 1,1
%A A140459 Leroy Quet Jul 22 2008
%E A140459 Extended beyond 32, R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 
               04 2008