Search: id:A106848
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%I A106848
%S A106848 1,1,1,1,1,1,1,1,1,1,2,0,6,6,3,0,16,9,18,1,6,2,22,0,0,6,27,6,28,1,15,0,
%T A106848 2,16,6,0,3,18,6,1,5,6,21,2,9,22,46,0,42,1,48,0,13,27,2,0,18,28,58,1,60,
%U A106848 15,6,0,6,2,33,16,22,1,35,0,8,3,0,0,2,6,13,1,81,5,41,6,16,21,84,2,44,1
%N A106848 a(n) = the number of times the last digit of n must be appended to n 
               to form a number m such that n divides m, or 0 if no such m exists.
%C A106848 Shares many terms in common with A064696, which involved inserting zeros 
               between digits. Numbers which do not appear to be able to form a 
               multiple (a(n)=0) were tested out to 10000 digits added. Note those 
               values of n for which a(n)=0 (12, 16, 24, 25, 32, 36, 48...) appear 
               to be given by A064695.
%e A106848 a(13) = 6 because the last digit of 13 must be appended to it six times 
               before a new number which divides 13 is formed. (i.e. 133 mod 13 
               = 3, 1333 mod 13 = 7, 13333 mod 13 = 8, 133333 mod 13 = 5, 1333333 
               mod 13 = 6, 13333333 mod 13 = 0). a(12)=0 because no matter how many 
               2's are appended to 12, the resulting number is not divisible by 
               12.
%Y A106848 Cf. A106849.
%Y A106848 Sequence in context: A064696 A021488 A053206 this_sequence A059444 A057720 
               A087996
%Y A106848 Adjacent sequences: A106845 A106846 A106847 this_sequence A106849 A106850 
               A106851
%K A106848 base,nonn
%O A106848 1,11
%A A106848 Chuck Seggelin (seqfan(AT)plastereddragon.com), May 08 2005

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