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A129476 Least k such that each single-digit (base 10) divisor of the n appears in the decimal expansion of k. 0
1, 12, 13, 124, 15, 1236, 17, 1248, 139, 125, 1, 12346, 1, 127, 135, 1248, 1, 12369, 1, 1245, 137, 12, 1, 123468, 15, 12, 139, 1247, 1, 12356, 1, 1248, 13, 12, 157, 123469, 1, 12, 13, 12458, 1, 12367, 1, 124, 1359, 12, 1, 123468, 17, 125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sequence has period 2520 = 2^3 * 3^2 * 5 * 7.

LINKS

Table of n, a(n) for n=1..50.

FORMULA

Let n be the rank and result be the number for this rank let a1...ak be k digits (a1...ak in [0,9]) result=a1*10^(k-1)...ak*10^0 with (i|n) => i in {a1...ak}

EXAMPLE

a(10)=125 because 1, 2 and 5 divides 10. 10 also divides 10 but it's not a digit so it doesn't appear.

MAPLE

# Should work in Maple 5 # In Maple 6, concatenation operator is not . (dot) anymore but || (two vertical bars) for n from 1 to 20 do for i from 1 to 9 do if irem(n, i)=0 then result:=result.i; fi od; print (n, " -> ", result); od;

MATHEMATICA

Table[FromDigits[Select[Divisors[n], #<10&]], {n, 50}] (* Harvey P. Dale, Jun 07 2015 *)

CROSSREFS

Cf. A037278.

Sequence in context: A058950 A064003 A135123 * A243361 A037278 A164852

Adjacent sequences:  A129473 A129474 A129475 * A129477 A129478 A129479

KEYWORD

easy,nonn,base

AUTHOR

Colin Pitrat (colin.pitrat(AT)rez-gif.supelec.fr), May 29 2007

EXTENSIONS

Editing and comment by Charles R Greathouse IV, Nov 02 2009

More terms from Harvey P. Dale, Jun 07 2015

STATUS

approved

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Last modified May 19 08:25 EDT 2019. Contains 323389 sequences. (Running on oeis4.)