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A106848
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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.
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1
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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, 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, 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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,11
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COMMENTS
| 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.
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EXAMPLE
| 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.
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CROSSREFS
| Cf. A106849.
Sequence in context: A064696 A021488 A053206 * A059444 A057720 A087996
Adjacent sequences: A106845 A106846 A106847 * A106849 A106850 A106851
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KEYWORD
| base,nonn
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AUTHOR
| Chuck Seggelin (seqfan(AT)plastereddragon.com), May 08 2005
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