%I A078294
%S A078294 12,1230,234,3452,4560,5670,6783,7896,8910,910110,101112,1112136,
%T A078294 1213147,1314152,1415160,1516177,16171811,1718190,18192006,19202100,
%U A078294 2021229,2122230,2223249,2324256,25262700,2627289,2728292,28293009
%N A078294 Smallest multiple of n in which the most significant occurrence of the 
               digit string of n is preceded and followed by the digit string of 
               (n-1) and (n+1) as can be seen in the forward concatenation of the 
               natural numbers.
%F A078294 The following inequality obviously holds for n > 1: a(n) >= (n-1)*10^(floor(1+log 
               n) + floor(1+log(n+1))) + n*10^(floor(1+log(n+1))) + n + 1 where 
               log is taken base 10, not base e. - Sam Alexander (amnalexander(AT)yahoo.com), 
               Oct 19 2003
%e A078294 a(1) = 12 = 012, a(9) = 8910, a(13) = 1213147, 13 is sandwiched between 
               12 and 14.
%Y A078294 Sequence in context: A033564 A054351 A080814 this_sequence A009155 A078296 
               A137343
%Y A078294 Adjacent sequences: A078291 A078292 A078293 this_sequence A078295 A078296 
               A078297
%K A078294 base,nonn
%O A078294 1,1
%A A078294 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 26 2002
%E A078294 Corrected and extended by Sam Alexander (amnalexander(AT)yahoo.com), 
               Oct 19 2003