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Search: id:A083116
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| A083116 |
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Smallest multiple of n using a single digit with multiplicity, or 0 if no such number exists. |
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+0
3
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 444, 111111, 222222, 555, 0, 1111111111111111, 666, 111111111111111111, 0, 111111, 22, 1111111111111111111111, 888, 0, 222222, 999
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OFFSET
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0,2
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COMMENT
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1. If p is a prime > 5 then there exists a d such that a(p) = concatenation of '1' d times where p = k*d + 1 for some k. a(p)= (10^d -1)/9 < ={10^(p-1)- 1}/9. 2. a(n) = 0 if n = 10k, 16k or 25k.
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REFERENCES
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Amarnath Murthy, " On the divisors of the Smarandache Unary sequence" Smarandache Notions Journal, Volume 11, 1-2-3, Spring 2000.
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CROSSREFS
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Cf. A083117, A083118.
Sequence in context: A062567 A069554 A020485 this_sequence A084044 A048379 A033307
Adjacent sequences: A083113 A083114 A083115 this_sequence A083117 A083118 A083119
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Apr 23 2003
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