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A083116 Smallest multiple of n using a single digit with multiplicity, or 0 if no such number exists. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

REFERENCES

Amarnath Murthy, "On the divisors of the Smarandache Unary sequence," Smarandache Notions Journal, Volume 11, 1-2-3, Spring 2000.

LINKS

Bo Gyu Jeong, Table of n, a(n) for n = 1..1000

Bo Gyu Jeong, C++ code which computes A083117 and this sequence

CROSSREFS

Cf. A083117, A083118.

Sequence in context: A062567 A069554 A020485 * A084044 A169930 A048379

Adjacent sequences:  A083113 A083114 A083115 * A083117 A083118 A083119

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 23 2003

EXTENSIONS

a(21) corrected by Bo Gyu Jeong, Jun 12 2012

More terms from Bo Gyu Jeong, Jun 13 2012

STATUS

approved

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Last modified January 23 12:31 EST 2021. Contains 340385 sequences. (Running on oeis4.)