%I A160343
%S A160343 1,2,3,4,5,6,7,8,9,89,394,605,894,3944,6055,8944,15111,84888,89444,
%T A160343 894444
%N A160343 The sequence contains numbers n such that the two closest numbers above 
               and below n, which are in A010784 and which have no common digit 
               with n, have the same distance to n.
%C A160343 For each integer n define the smallest upper neighbor n+d in the range 
               d>0, such that n+d contains each digit at most once (see A010784)
%C A160343 and such that n+d has none of the digits of n. Define also the largest
%C A160343 lower neighbor n-b in the range b>0, such that n-b contains each digit 
               at most once and such that n-b has none of the digits of n.
%C A160343 The sequence contains those n where d=b, that is, where these two neighbors 
               have the same distance to n.
%C A160343 Contribution from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 
               29 2009: (Start)
%C A160343 15111 has neighbors 9876 and 20346, distance 5235.
%C A160343 84888 has neighbors 79653 and 90123, distance 5235.
%C A160343 89444 has neighbors 76532 and 102356, distance 12912.
%C A160343 894444 has neighbors 765321 and 1023567, distance 129123.
%C A160343 Sequence is complete.
%C A160343 (End)
%H A160343 Rodolfo Kurchan and Claudio Meller, <a href="http://mathforum.org/kb/
               message.jspa?messageID=6704132&tstart=0"></a>, Snark e-mail list, 
               May 10, 2009
%e A160343 6 has neighbors 5 and 7, common distance 1.
%e A160343 89 has neighbors 76 and 102, common distance 13.
%e A160343 394 has neighbors 287 and 501, distance 107.
%e A160343 605 has neighbors 498 and 712, distance 107.
%e A160343 894 has neighbors 765 and 1023, distance 129.
%e A160343 3944 has neighbors 2876 and 5012, distance 1068.
%e A160343 6055 has neighbors 4987 and 7123, distance 1068.
%e A160343 8944 has neighbors 7653 and 10235, distance 1291.
%e A160343 94 is not in the sequence because 87 and 102 have distances 7 and 8.
%Y A160343 Sequence in context: A135480 A098766 A032799 this_sequence A024664 A078188 
               A061805
%Y A160343 Adjacent sequences: A160340 A160341 A160342 this_sequence A160344 A160345 
               A160346
%K A160343 base,fini,nonn,full
%O A160343 1,2
%A A160343 Rodolfo Kurchan (rodolfokurchan(AT)yahoo.com.ar), May 10 2009, May 11 
               2009, May 16 2009
%E A160343 Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 20 2009
%E A160343 a(17)-a(20) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 
               29 2009