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A180478
Numbers n such that r*n/k is an integer. n=(x_1 x_2 ... x_r) where x_i are digits of n, k = x_1 * x_2 * ... * x_r.
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 21, 22, 24, 25, 36, 48, 63, 111, 112, 113, 115, 116, 128, 131, 132, 135, 144, 175, 192, 195, 212, 216, 224, 232, 311, 312, 315, 333, 371, 384, 416, 432, 612, 624, 672, 735, 816, 832, 912, 915
OFFSET
1,2
COMMENTS
A007602 is a subsequence of this sequence.
LINKS
EXAMPLE
n=135, r=3, 3*135/1*3*5=27, n=135 belongs to the sequence.
MATHEMATICA
Select[Range[1000], DigitCount[#, 10, 0]==0&&IntegerQ[(IntegerLength[#]#)/ Times@@ IntegerDigits[#]]&] (* Harvey P. Dale, Nov 04 2019 *)
CROSSREFS
Sequence in context: A033108 A049811 A124097 * A062461 A178843 A252996
KEYWORD
base,easy,nonn
AUTHOR
Ctibor O. Zizka, Sep 07 2010
STATUS
approved