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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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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, 777, 22, 1111111111111111111111, 888, 0, 222222, 999, 444444, 1111111111111111111111111111, 0, 111111111111111, 0, 33, 2222222222222222, 555555
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OFFSET
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1,2
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COMMENTS
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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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LINKS
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Bo Gyu Jeong, Table of n, a(n) for n = 1..1000
Bo Gyu Jeong, C++ code which computes A083117 and this sequence
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CROSSREFS
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Cf. A083117, A083118.
Sequence in context: A062567 A069554 A020485 * A084044 A169930 A048379
Adjacent sequences: A083113 A083114 A083115 * 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 (menakan_s(AT)yahoo.com), Apr 23 2003
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EXTENSIONS
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a(21) corrected by Bo Gyu Jeong, Jun 12 2012
More terms from Bo Gyu Jeong, Jun 13 2012
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STATUS
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approved
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